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"id": 1028332202544599200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 11:45:02",
"content": "Available help channel!",
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"id": 1028333787765014500,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "10/08/2022 11:51:20",
"content": "right",
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},
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"id": 1028333789736345700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 11:51:20",
"content": "Pinned a message.",
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"author_name": "Skewby",
"timestamp": "10/08/2022 11:51:21",
"content": "",
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"id": 1028333811798388700,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "10/08/2022 11:51:26",
"content": "im confuddled about the 3rd line of working",
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{
"id": 1028333888487035000,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "10/08/2022 11:51:44",
"content": "how did 2XE[x] = - 2E[x}E[x]",
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{
"id": 1028333947832242200,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "10/08/2022 11:51:58",
"content": "is there an assumption made about X that is = E[X]",
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},
{
"id": 1028333986898001900,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "10/08/2022 11:52:07",
"content": "that is what we expect, so we can write it as that?",
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},
{
"id": 1028334068544311300,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "10/08/2022 11:52:27",
"content": "and how does it cancel to the last line too..",
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},
{
"id": 1028334380910907500,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 11:53:41",
"content": "Remember that E(X) is a constant",
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},
{
"id": 1028334463505150100,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 11:54:01",
"content": "And $E(cX)=cE(X)$",
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},
{
"id": 1028334499081228300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 11:54:10",
"content": "**Pure**",
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"id": 1028334889881309200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 11:55:43",
"content": "In this case we have $E(2E(X) \\cdot X) = 2E(X)E(X)$ as we can factor out the constant 2E(X).",
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{
"id": 1028334900580982900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 11:55:45",
"content": "**Pure**",
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"id": 1028335146941808800,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 11:56:44",
"content": "And expectation of a sum is sum of expectations. I should’ve mentioned this first, sorry.",
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},
{
"id": 1028335408314064900,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 11:57:46",
"content": "$E(aX+b) = E(aX) + E(b)= aE(X) + b$",
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},
{
"id": 1028335420783730700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 11:57:49",
"content": "**Pure**",
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"timestamp": "10/08/2022 11:58:00",
"content": "@Skewby",
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"id": 1028336780199600100,
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"author_name": "Pure",
"timestamp": "10/08/2022 12:03:13",
"content": "Hence $\\\\ E[X^2 -2XE(X) + [E(X)]^2] \\\\ = E(X^2) -E[(2XE(X)] +E[(E(X))^2] \\\\ = E(X^2) - 2E(X)E(X) + (E(X))^2E(1) \\\\ = E(X^2) -2(E(X))^2 + E(X)^2 \\\\ = E(X^2)-(E(X))^2$",
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{
"id": 1028336839758725200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 12:03:28",
"content": "Let me fix this",
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},
{
"id": 1028337307931127800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 12:05:19",
"content": "**Pure**",
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"id": 1028337483487916200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 12:06:01",
"content": "Since $E(X)^2$ is also a constant",
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{
"id": 1028337492996411400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 12:06:03",
"content": "**Pure**",
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"id": 1028338742890602500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 12:11:01",
"content": "@Skewby Has your question been resolved?",
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"id": 1028341067642314800,
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"author_name": "Pure",
"timestamp": "10/08/2022 12:20:16",
"content": "Please come back before it goes away skewby :blobcry:",
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{
"id": 1028342519559368700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 12:26:02",
"content": "Channel closed",
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}
] |
help-9
|
9371b2405df544ad8bf4a3e63747256c
|
198,966 |
[
{
"id": 1028342772526235600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 12:27:02",
"content": "Available help channel!",
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},
{
"id": 1028344117140402300,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/08/2022 12:32:23",
"content": "Can someone help me understand the time complexity of UnionFind?",
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"reference": null
},
{
"id": 1028344120806211700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 12:32:24",
"content": "Pinned a message.",
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{
"id": 1028344438851903500,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/08/2022 12:33:39",
"content": "I've managed to wrap my mind around the notion that, with union by rank, the height of a tree is going to be at most 2^n.",
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},
{
"id": 1028344726384029800,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/08/2022 12:34:48",
"content": "But supposedly, with path compression, the complexity becomes ln*n. I read something about how this is the number of iterations of `sqrt` one must take upon `n` to reduce it to 1",
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},
{
"id": 1028344783590142000,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/08/2022 12:35:02",
"content": "Or something along these lines. Anyway, its all a bit confusing. Does anyone here have a good handle on it?",
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},
{
"id": 1028348559378100200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 12:50:02",
"content": "@Skywalker Has your question been resolved?",
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"timestamp": "10/08/2022 12:50:09",
"content": "Channel closed",
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}
] |
help-9
|
f09e2e25953346b7a60783eeb7acee17
|
198,967 |
[
{
"id": 1028348839893139600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 12:51:09",
"content": "Available help channel!",
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},
{
"id": 1028350281810985100,
"author_id": 934855377579827200,
"author_name": "Dos",
"timestamp": "10/08/2022 12:56:53",
"content": "could som",
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"id": 1028350285002850400,
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"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 12:56:53",
"content": "Pinned a message.",
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"id": 1028350311791857800,
"author_id": 934855377579827200,
"author_name": "Dos",
"timestamp": "10/08/2022 12:57:00",
"content": "coulod someone help",
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},
{
"id": 1028350340464136200,
"author_id": 934855377579827200,
"author_name": "Dos",
"timestamp": "10/08/2022 12:57:06",
"content": "cause i was tyring to solve it",
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{
"id": 1028350350031335600,
"author_id": 934855377579827200,
"author_name": "Dos",
"timestamp": "10/08/2022 12:57:09",
"content": "but couldnt",
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"id": 1028354174833930200,
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"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 13:12:21",
"content": "@Dos Has your question been resolved?",
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"id": 1028357951729184900,
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"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 13:27:21",
"content": "Channel closed",
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}
] |
help-9
|
482a2c2ccaaa4cf78efcc7cfdb910a20
|
198,968 |
[
{
"id": 1028358203773292700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 13:28:21",
"content": "Available help channel!",
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},
{
"id": 1028358374691188700,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:29:02",
"content": "is what i wrote correct?",
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"id": 1028358380114427900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 13:29:03",
"content": "Pinned a message.",
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{
"id": 1028358755395580000,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/08/2022 13:30:33",
"content": "I don’t know what’s going on but 10/0 is undefined",
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},
{
"id": 1028359143695851600,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:32:05",
"content": "i have to write true or false if its a solution or not",
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},
{
"id": 1028359267973079200,
"author_id": 934855377579827200,
"author_name": "Dos",
"timestamp": "10/08/2022 13:32:35",
"content": "its very hard to understand anyhting on your phpto",
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},
{
"id": 1028359286683861000,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:32:39",
"content": "okay wait",
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},
{
"id": 1028359287795351700,
"author_id": 934855377579827200,
"author_name": "Dos",
"timestamp": "10/08/2022 13:32:40",
"content": "can you take a full pic?",
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},
{
"id": 1028359728767717400,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:34:25",
"content": "test",
"attachments": [],
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},
{
"id": 1028360386166136800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/08/2022 13:37:02",
"content": "It's a test?",
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},
{
"id": 1028361398448816100,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:41:03",
"content": "here",
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"id": 1028361414487855100,
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"author_name": "tommytomi",
"timestamp": "10/08/2022 13:41:07",
"content": "",
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"id": 1028361942332625000,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:43:13",
"content": "nope, its a worksheet.",
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"id": 1028364047403454500,
"author_id": 808399722108813300,
"author_name": "sakuraa",
"timestamp": "10/08/2022 13:51:34",
"content": "I 🤔 think it is false bc 10/0 is undefined (has mo solution)",
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"id": 1028364103640682500,
"author_id": 808399722108813300,
"author_name": "sakuraa",
"timestamp": "10/08/2022 13:51:48",
"content": "It’s 0/10 that = 0",
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{
"id": 1028365352092057600,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:56:46",
"content": "okai thanku",
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},
{
"id": 1028365371809472600,
"author_id": 203058879981027330,
"author_name": "tommytomi",
"timestamp": "10/08/2022 13:56:50",
"content": ".close",
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},
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"id": 1028365374158291100,
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"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 13:56:51",
"content": "Channel closed",
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}
] |
help-9
|
3a3811954c3647f2b3520315ccaa9d86
|
198,969 |
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"content": "Available help channel!",
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"author_name": "Zelsiq",
"timestamp": "10/08/2022 14:01:30",
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"timestamp": "10/08/2022 14:01:31",
"content": "Pinned a message.",
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"id": 1028366554989076600,
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"author_name": "Zelsiq",
"timestamp": "10/08/2022 14:01:32",
"content": "is there any mistake?",
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},
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"timestamp": "10/08/2022 14:16:33",
"content": "@Zelsiq Has your question been resolved?",
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}
] |
help-9
|
ecb4e564f91349bdbd2f553ea4ad898d
|
198,970 |
[
{
"id": 962161442394636300,
"author_id": 200745901558333440,
"author_name": "NightBounty",
"timestamp": "04/08/2022 21:26:03",
"content": "i have to find the work done at t=5 sec",
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},
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"id": 962161488481620000,
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"timestamp": "04/08/2022 21:27:12",
"content": "my last equation how am i suppose to turn it into a polar coordinates",
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},
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"id": 962162091643519000,
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"timestamp": "04/08/2022 21:28:38",
"content": "is it even possible ?",
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},
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"timestamp": "04/08/2022 21:34:49",
"content": "Available help channel!",
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},
{
"id": 962168331580891300,
"author_id": 444281102790557700,
"author_name": "Spart",
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"timestamp": "04/08/2022 21:53:26",
"content": "Pinned a message.",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/08/2022 21:59:18",
"content": "what's your issue with this question",
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},
{
"id": 962170138419925100,
"author_id": 444281102790557700,
"author_name": "Spart",
"timestamp": "04/08/2022 22:00:37",
"content": "I was wondering how would you find the lateral area and also the total surface area",
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},
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"id": 962170595427102800,
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"timestamp": "04/08/2022 22:02:26",
"content": "find the areas of the faces",
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},
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"id": 962170698888011800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/08/2022 22:02:50",
"content": "and perform addition based on whats being asked",
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},
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"id": 962171041621377200,
"author_id": 759174971535654900,
"author_name": "chloe_0531…",
"timestamp": "04/08/2022 22:04:12",
"content": "lateral is total minus base",
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},
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"timestamp": "04/08/2022 22:15:37",
"content": "@Spart Has your question been resolved?",
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},
{
"id": 962177689983266800,
"author_id": 805217272087838700,
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"timestamp": "04/08/2022 22:30:37",
"content": "Channel closed",
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}
] |
help-9
|
95df63e2729846b89503a2d038c34730
|
198,971 |
[
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"timestamp": "10/08/2022 14:42:04",
"content": "Available help channel!",
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},
{
"id": 1028376988139929700,
"author_id": 228883802527760400,
"author_name": "erentar2002",
"timestamp": "10/08/2022 14:43:00",
"content": "how do i solve this system",
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"content": "@erentar2002 Has your question been resolved?",
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help-9
|
fa1656eadf694764a7775d812453e3ae
|
198,972 |
[
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"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 15:14:01",
"content": "Available help channel!",
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},
{
"id": 1028388440758309000,
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"author_name": "monick",
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"author_id": 1028138905272340600,
"author_name": "monick",
"timestamp": "10/08/2022 15:28:45",
"content": "how do i do this",
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},
{
"id": 1028388731109003300,
"author_id": 1028138905272340600,
"author_name": "monick",
"timestamp": "10/08/2022 15:29:40",
"content": "it do be hard asf💯 🙏",
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},
{
"id": 1028389827240005800,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 15:34:01",
"content": "Integration by parts. It helps visualize it if you set your integral to a value.",
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},
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"id": 1028389848643534800,
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"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 15:34:06",
"content": "For example",
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"id": 1028390017757888500,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 15:34:46",
"content": "Let $I = \\int e^{ax}cos(bx) dx$",
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},
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"id": 1028390028331720700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 15:34:49",
"content": "**MellowDramaLlama**",
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"timestamp": "10/08/2022 15:35:33",
"content": "Then set $u = cos(bx)$ and $dv = e^{ax}dx$",
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"timestamp": "10/08/2022 15:35:58",
"content": "**MellowDramaLlama**",
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"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 15:36:43",
"content": "then do IBP a few times and you'll see that $ \\int e^{ax}cos(bx)$ pops up again down the line and you can set that equal to I",
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"timestamp": "10/08/2022 15:44:40",
"content": "@monick Has your question been resolved?",
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help-9
|
739edfcaa4bc4c6590fbc2cea726bd33
|
198,973 |
[
{
"id": 1028402676888780900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 16:25:04",
"content": "Available help channel!",
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},
{
"id": 1028403669588250600,
"author_id": 548607235270508540,
"author_name": "tripleventi",
"timestamp": "10/08/2022 16:29:01",
"content": "How do I find the duration of 30 minutes, the minute hand completes ? of revolutions?",
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"id": 1028403671517626400,
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"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:33:47",
"content": "so one full rotation is 60 minutes, wouldn't you agree?",
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"author_name": "tripleventi",
"timestamp": "10/08/2022 16:35:38",
"content": "yes correct",
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"id": 1028405808834281600,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:37:31",
"content": "so then we can do some unit conversions with that!\n$\\frac{1 \\text{ rotation}}{60 \\text{minutes}} \\times 30$ minutes = $\\frac{30 \\text{ rotations}}{60} = \\frac{1}{2}$ rotations",
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"id": 1028405820993577000,
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"author_name": "TeXit",
"timestamp": "10/08/2022 16:37:34",
"content": "**MellowDramaLlama**",
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"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:37:51",
"content": "so the minute hand rotation 1/2 times",
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"id": 1028405964799492100,
"author_id": 548607235270508540,
"author_name": "tripleventi",
"timestamp": "10/08/2022 16:38:08",
"content": "ahh thank you they didnt show that formula!",
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},
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"id": 1028405996252577900,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:38:16",
"content": "it's not so much a formula",
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},
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"id": 1028406023872065700,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:38:22",
"content": "it's just unit conversions",
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},
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"id": 1028406072253354100,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:38:34",
"content": "it's a visual tool to help you get to whatever unit you are looking for",
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},
{
"id": 1028406140989612000,
"author_id": 548607235270508540,
"author_name": "tripleventi",
"timestamp": "10/08/2022 16:38:50",
"content": "Its difficult for me to know these things being out of school for 20 years 🙂",
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"id": 1028406312637317100,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:39:31",
"content": "no worries! You'll get there. FWIW I started back down in pre-algebra for college, so I get where you're coming from",
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"id": 1028406330299535500,
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"author_name": "MellowDramaLlama",
"timestamp": "10/08/2022 16:39:36",
"content": "just stick with it you'll get it!",
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"id": 1028406423907991700,
"author_id": 548607235270508540,
"author_name": "tripleventi",
"timestamp": "10/08/2022 16:39:58",
"content": "Thank you I will give this a shot thanks again!",
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"id": 1028406456074108900,
"author_id": 548607235270508540,
"author_name": "tripleventi",
"timestamp": "10/08/2022 16:40:05",
"content": ".close",
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},
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"timestamp": "10/08/2022 16:40:06",
"content": "Channel closed",
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}
] |
help-9
|
ccb00d60c4984beb9e99df558a07a0e2
|
198,974 |
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"content": "Available help channel!",
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"id": 1028411320007135200,
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"content": "Pinned a message.",
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"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 16:59:43",
"content": "What’s the correct product",
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},
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"id": 1028411481978568700,
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"timestamp": "10/08/2022 17:00:04",
"content": "it's probably more obvious in radical form",
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"id": 1028411545388056600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:00:19",
"content": "sqrt(x) * sqrt(x) = ?",
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"id": 1028411571510190100,
"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:00:25",
"content": "X",
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},
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"id": 1028411596680204400,
"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:00:31",
"content": "Oh",
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},
{
"id": 1028411855133229000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:01:33",
"content": "$a^m \\cdot a^n \\red{\\neq} a^{mn}$",
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},
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"id": 1028411869951709200,
"author_id": 510789298321096700,
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"timestamp": "10/08/2022 17:01:36",
"content": "**ℝamonov**",
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"author_id": 1001444188895858700,
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"timestamp": "10/08/2022 17:03:00",
"content": "Huh",
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"timestamp": "10/08/2022 17:05:19",
"content": "So it’s not 3 root x squared",
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"timestamp": "10/08/2022 17:06:44",
"content": "assuming you mean\n$$3(\\sqrt{x})^2$$\nit is",
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"timestamp": "10/08/2022 17:06:48",
"content": "**ℝamonov**",
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"timestamp": "10/08/2022 17:07:09",
"content": "Yea",
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:07:17",
"content": "Oh",
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"author_name": "ramonov",
"timestamp": "10/08/2022 17:07:28",
"content": "and as you said earlier, sqrt(x)^2 is x",
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"timestamp": "10/08/2022 17:09:32",
"content": "what this isn't is\n$$3x^{1/2} \\cdot x^{1/2} \\wthonk 3x^{\\frac 12\\red{\\times} \\frac12}$$",
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"author_name": "TeXit",
"timestamp": "10/08/2022 17:09:35",
"content": "**ℝamonov**",
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"timestamp": "10/08/2022 17:10:24",
"content": "Ok",
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"timestamp": "10/08/2022 17:11:22",
"content": "",
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"id": 1028414638062321800,
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"author_name": "ramonov",
"timestamp": "10/08/2022 17:12:36",
"content": "overcomplicating your work",
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},
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"id": 1028414744438243500,
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"author_name": "ramonov",
"timestamp": "10/08/2022 17:13:02",
"content": "with the 3sqrt(x) * sqrt(x)",
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"timestamp": "10/08/2022 17:13:14",
"content": "you can jump straight to 3x",
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:13:53",
"content": "Yeah, I was just explaining it to myself",
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:13:56",
"content": "Future reference",
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},
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"author_name": "ramonov",
"timestamp": "10/08/2022 17:14:26",
"content": "why write that -15 at the bottom right ...",
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"id": 1028415142171521200,
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:14:36",
"content": "Aw Bruh",
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},
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"id": 1028415168931188700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:14:43",
"content": "that's supposed to be gone after differentiating",
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},
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"id": 1028415321620615300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:15:19",
"content": "also indicate that you're substituting x=1 there",
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:15:38",
"content": "Do i just write it",
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},
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"id": 1028415409529032700,
"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:15:40",
"content": "Sub 1",
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},
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"id": 1028415551778857000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:16:14",
"content": "something like at\nat x=1...\ndy/dx =",
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},
{
"id": 1028415728589734000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:16:56",
"content": "$\\dv{y}{x}\\bigg|_{x=1}$",
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},
{
"id": 1028415835729051600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 17:17:22",
"content": "**ℝamonov**",
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"id": 1028415890162733000,
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:17:35",
"content": "Aight",
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},
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"id": 1028416019808665700,
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"author_name": "ramonov",
"timestamp": "10/08/2022 17:18:06",
"content": "otherwise those equals is implying that dy/dx is 5 for all x which it is not",
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"id": 1028416058685653100,
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:18:15",
"content": "Yea",
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},
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"id": 1028416067112014000,
"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:18:17",
"content": "True",
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},
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"id": 1028416131519758300,
"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:18:32",
"content": "Can u also check this other question?",
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:18:38",
"content": "",
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:19:27",
"content": "Find the gradient of the tangent to the curve (4x-1)^2/x^2at the point (-1,25)",
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},
{
"id": 1028416892655906800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:21:34",
"content": "you didn't simplify your fraction properly",
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},
{
"id": 1028416983017996300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:21:55",
"content": "violated basic fraction rules and order of operations which you should know",
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},
{
"id": 1028417323486412900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/08/2022 17:23:16",
"content": "$\\frac{a+b}{c} \\neq \\frac ac + b$",
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},
{
"id": 1028417336664916000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 17:23:20",
"content": "**ℝamonov**",
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"id": 1028417363995013200,
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:23:26",
"content": "Yeah I figured",
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},
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"id": 1028417622007611400,
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:24:28",
"content": "",
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"id": 1028418472855732400,
"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:27:51",
"content": "I solved it",
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},
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"id": 1028420759317643300,
"author_id": 1001444188895858700,
"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:36:56",
"content": "Bro?",
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"id": 1028421346302099600,
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"author_name": "linlucaa2",
"timestamp": "10/08/2022 17:39:16",
"content": ".close",
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},
{
"id": 1028421349082943600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 17:39:16",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7f58e8c477774c16846b262184ca42dc
|
198,975 |
[
{
"id": 1028421601638760400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 17:40:16",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1028423251426283600,
"author_id": 268303053843595260,
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"content": "Pinned a message.",
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"author_id": 268303053843595260,
"author_name": "RazeXIX",
"timestamp": "10/08/2022 17:47:05",
"content": "not sure how they go from 1 to 2",
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},
{
"id": 1028423827362938900,
"author_id": 246787399991033860,
"author_name": "rafilou2003",
"timestamp": "10/08/2022 17:49:07",
"content": "multiply by [sqrt(x2 + x + 2) + 2]/[sqrt(x2 + x + 2) + 2]",
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},
{
"id": 1028423905024692200,
"author_id": 246787399991033860,
"author_name": "rafilou2003",
"timestamp": "10/08/2022 17:49:26",
"content": "which is 1",
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},
{
"id": 1028424174483554400,
"author_id": 268303053843595260,
"author_name": "RazeXIX",
"timestamp": "10/08/2022 17:50:30",
"content": "conjugate basically?",
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},
{
"id": 1028424202736377900,
"author_id": 268303053843595260,
"author_name": "RazeXIX",
"timestamp": "10/08/2022 17:50:37",
"content": "hmm it see, what is 1",
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},
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"id": 1028427978541117600,
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"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 18:05:37",
"content": "@RazeXIX Has your question been resolved?",
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"timestamp": "10/08/2022 18:07:05",
"content": "Channel closed",
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}
] |
help-9
|
3023b1bc9d1c486181d69876a30d9fed
|
198,976 |
[
{
"id": 1028428600057278600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 18:08:05",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1028430789907599400,
"author_id": 404014048145965060,
"author_name": "David_",
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"timestamp": "10/08/2022 18:16:48",
"content": "Pinned a message.",
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"id": 1028431035249205200,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/08/2022 18:17:46",
"content": "Sorry no understand no English",
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},
{
"id": 1028431235896332300,
"author_id": 404014048145965060,
"author_name": "David_",
"timestamp": "10/08/2022 18:18:33",
"content": "A ∈ Mn×m(K) and B ∈ Mm×n(K), such that A · B = In. Prove that the rows of A and\nthe columns of B are linearly independent.",
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"id": 1028431805533139100,
"author_id": 246787399991033860,
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"timestamp": "10/08/2022 18:20:49",
"content": "So : To prove that the rows of A (which are vectors we will call R1,R2,...,Rn) are linearly independent",
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},
{
"id": 1028431878115557400,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "10/08/2022 18:21:07",
"content": "do you know what a matrix rank is?",
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},
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"id": 1028434247582765000,
"author_id": 404014048145965060,
"author_name": "David_",
"timestamp": "10/08/2022 18:30:32",
"content": ".close",
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},
{
"id": 1028434250342608900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 18:30:32",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
aa83d6e7558a4acdaed05ba11e05e6b3
|
198,977 |
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"content": "Available help channel!",
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},
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"id": 1028434932185452500,
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"content": "Pinned a message.",
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"timestamp": "10/08/2022 18:33:34",
"content": "im pretty sure i have the process correct but i keep getting the wrong answer for this question",
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"id": 1028436158973214800,
"author_id": 711148028723068900,
"author_name": "clip",
"timestamp": "10/08/2022 18:38:07",
"content": "What is j4 here? Is it the nominal or effective quarterly rate",
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"content": "quarterly",
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"author_id": 711148028723068900,
"author_name": "clip",
"timestamp": "10/08/2022 18:45:14",
"content": "Nominal or effective rate",
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"timestamp": "10/08/2022 18:45:33",
"content": "I’m assuming nominal because 8% is a high eff rate but just want to make sure",
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"timestamp": "10/08/2022 18:45:43",
"content": "nominal",
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"id": 1028438168082587800,
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"author_name": "clip",
"timestamp": "10/08/2022 18:46:06",
"content": "Ok how did you do this problem",
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"author_name": "clip",
"timestamp": "10/08/2022 18:47:41",
"content": "Or better what is your main equation you used to solve for this",
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:47:55",
"content": "future value of annuity equation",
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"id": 1028438700138451100,
"author_id": 711148028723068900,
"author_name": "clip",
"timestamp": "10/08/2022 18:48:13",
"content": "Yeah so what do you have down",
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"author_name": "1soongi",
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"content": "",
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"id": 1028439233242857500,
"author_id": 711148028723068900,
"author_name": "clip",
"timestamp": "10/08/2022 18:50:20",
"content": "We know for a fact that your interest rate and payment values are correct because they are given plainly in the Tex",
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"author_name": "clip",
"timestamp": "10/08/2022 18:50:34",
"content": "What else in the equation could be wrong",
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"id": 1028439527653646500,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 18:51:30",
"content": "time ?",
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"author_name": "clip",
"timestamp": "10/08/2022 18:51:56",
"content": "Yeah I would recheck the amount of periods you have",
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:52:51",
"content": "ok so i kinda worked backwards and its supposed to be 18 instead of 21",
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"id": 1028439887239725000,
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:52:56",
"content": "but i dont understand why",
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"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 18:53:24",
"content": "i know that from oct 5 2006 to jan 5 2011 is 5 years and 3 months",
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"timestamp": "10/08/2022 18:53:58",
"content": "which would be 5.25 in years and 21 in quarters",
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"author_name": "clip",
"timestamp": "10/08/2022 18:54:36",
"content": "5 years from oct 5 2006 would be oct 6 2011. And then 3 months past that would give you Jan 5 2012",
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"id": 1028440624548024300,
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:55:52",
"content": "oh",
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"id": 1028440626993307600,
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:55:52",
"content": "shit",
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"id": 1028440640796762200,
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:55:56",
"content": "thats awkward",
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"author_name": "clip",
"timestamp": "10/08/2022 18:56:41",
"content": "Lol did you end up getting 32118.47?",
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:56:55",
"content": "yeah thats the right answer",
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"author_name": "clip",
"timestamp": "10/08/2022 18:58:22",
"content": "Ok. Also remember if you calculate dates like that you are only accounting for either the start or end date",
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"id": 1028441375177457700,
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"author_name": "clip",
"timestamp": "10/08/2022 18:58:51",
"content": "And in this case you need both so when you calculate it you way you would need to add 1 to what you get to include the start date",
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:59:37",
"content": "ohhhhh",
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"id": 1028441613162258600,
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"author_name": "1soongi",
"timestamp": "10/08/2022 18:59:48",
"content": "i didnt know that",
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"timestamp": "10/08/2022 18:59:52",
"content": "okay that makes sense now",
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"author_name": "1soongi",
"timestamp": "10/08/2022 19:00:08",
"content": "because the time in years would be 4.25",
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"id": 1028441714932863100,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:00:12",
"content": "and in quarters is 17",
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},
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"id": 1028441724411985900,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:00:14",
"content": "plus one is 18",
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"id": 1028441743605113000,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:00:19",
"content": "is that right",
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"author_name": "clip",
"timestamp": "10/08/2022 19:00:37",
"content": "Yeah when you do it like that you are counting the timeframes in between each date, which will eventually leave one of the dates out",
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"timestamp": "10/08/2022 19:02:05",
"content": "i see",
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"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:02:08",
"content": "is there like a different way",
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"id": 1028442204953383000,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:02:09",
"content": "of",
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},
{
"id": 1028442224515621000,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:02:13",
"content": "getting the time",
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},
{
"id": 1028442321710219400,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:02:37",
"content": "that accounts for everything",
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},
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"id": 1028442507593400300,
"author_id": 711148028723068900,
"author_name": "clip",
"timestamp": "10/08/2022 19:03:21",
"content": "I believe so but I’m drawing a blank. Easiest way here would to to count how many periods are in your starting and ending year, 1 for each, and then add 4*(amount of years in between)",
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"timestamp": "10/08/2022 19:06:37",
"content": "okay i see",
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},
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"id": 1028443340229845100,
"author_id": 167753061144461300,
"author_name": "1soongi",
"timestamp": "10/08/2022 19:06:39",
"content": "thank u very much",
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},
{
"id": 1028443441417441300,
"author_id": 711148028723068900,
"author_name": "clip",
"timestamp": "10/08/2022 19:07:03",
"content": "Yea np",
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"timestamp": "10/08/2022 19:11:13",
"content": ".close",
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"timestamp": "10/08/2022 19:11:13",
"content": "Channel closed",
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}
] |
help-9
|
2cca46581c1d463ab57037e7fbd9a537
|
198,978 |
[
{
"id": 1028444741089628200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 19:12:13",
"content": "Available help channel!",
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},
{
"id": 1028445051665264800,
"author_id": 474304314740047900,
"author_name": "usmxn",
"timestamp": "10/08/2022 19:13:27",
"content": "does (A AND B) AND C = A AND B AND C",
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"author_id": 246787399991033860,
"author_name": "rafilou2003",
"timestamp": "10/08/2022 19:16:15",
"content": "yes, the order in which you do the \"AND\"s between them doesn't matter",
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},
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"id": 1028445759273713700,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 19:16:16",
"content": "the 'AND' logical connective is both associative and commutative",
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"id": 1028445996067340300,
"author_id": 246787399991033860,
"author_name": "rafilou2003",
"timestamp": "10/08/2022 19:17:13",
"content": "The statement \"I have apples and bananas. I also have carrots\" is the same as \"I have apples and bananas and carrots\"",
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},
{
"id": 1028446272396468200,
"author_id": 615575966202200000,
"author_name": "Zelsiq",
"timestamp": "10/08/2022 19:18:18",
"content": "yes",
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"timestamp": "10/08/2022 19:18:31",
"content": "In the same way, the statement \"I have apples and bananas\" is the same as \"I have bananas and apples\", so A AND B = B AND A",
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"id": 1028446447592550400,
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"author_name": "Zelsiq",
"timestamp": "10/08/2022 19:19:00",
"content": "curious question what are A B and C",
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"timestamp": "10/08/2022 19:22:10",
"content": "Probably some statement",
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"timestamp": "10/08/2022 19:28:28",
"content": "@usmxn Has your question been resolved?",
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"timestamp": "10/08/2022 19:43:28",
"content": "Channel closed",
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}
] |
help-9
|
8b9d178f08d3441e97e18e0d4f4b3c44
|
198,979 |
[
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"timestamp": "10/08/2022 19:44:28",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "10/08/2022 19:48:32",
"content": "Im a little confused how to read these",
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"author_id": 474304314740047900,
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"content": "I understand logic gates but not how they translate to circuit gates",
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"content": "You can probably look up logic gate as transistor circuits",
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}
] |
help-9
|
c68e861edfbb43128ef7a132def35155
|
198,980 |
[
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"timestamp": "10/08/2022 20:19:46",
"content": "Available help channel!",
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"id": 1028466399867318300,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:38:17",
"content": "how do u do this",
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},
{
"id": 1028466401935118300,
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"id": 1028466436441657300,
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"timestamp": "10/08/2022 20:38:26",
"content": "how do u change the number on very left hand side",
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{
"id": 1028466455836119000,
"author_id": 896927649602101200,
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"timestamp": "10/08/2022 20:38:31",
"content": "into 2^-1",
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"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:38:52",
"content": "wdym?",
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{
"id": 1028466572278378500,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:38:58",
"content": "like it was -1 originally",
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},
{
"id": 1028466578167173100,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:39:00",
"content": "how to go from line 1 to 2",
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"timestamp": "10/08/2022 20:39:03",
"content": "yes",
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"id": 1028466602057936900,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:39:05",
"content": "line 1 to line 2",
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},
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"id": 1028466622106710000,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:39:10",
"content": "2 to the power of both sides",
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},
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"id": 1028466658743959700,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:39:19",
"content": "why are we allowed to do that?",
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},
{
"id": 1028466681019908200,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:39:24",
"content": "doesnt it change the whhole equation",
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},
{
"id": 1028466681653231700,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:39:24",
"content": "$a = b \\newline 2^a = 2^b$",
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},
{
"id": 1028466695662215300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/08/2022 20:39:28",
"content": "**dog.**",
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"id": 1028466723877302400,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:39:34",
"content": "its an implication",
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},
{
"id": 1028466744567791600,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:39:39",
"content": "OH",
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},
{
"id": 1028466751589060700,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:39:41",
"content": "if a and b are equal",
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},
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"id": 1028466758593548300,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:39:43",
"content": "thats interesting",
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},
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"id": 1028466769075126300,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:39:45",
"content": "never knew that",
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},
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"id": 1028466780445868200,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:39:48",
"content": "then if you raise 2 to the power of each",
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},
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"id": 1028466798791753700,
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"author_name": "dog.",
"timestamp": "10/08/2022 20:39:52",
"content": "they should also be equal",
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},
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"id": 1028466819712958500,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:39:57",
"content": "since its the same exponent",
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},
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"id": 1028466856908042200,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:40:06",
"content": "what about",
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"id": 1028466867418955900,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:40:09",
"content": "this",
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},
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"id": 1028466892714811400,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:40:15",
"content": "like are we allowed to divide both sides by 2?",
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"id": 1028466922221736000,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:40:22",
"content": "why not",
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"id": 1028466984247111700,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:40:37",
"content": "yeah fair enough",
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},
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"id": 1028466991486476300,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:40:38",
"content": "thank u",
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},
{
"id": 1028467004669169800,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "10/08/2022 20:40:41",
"content": "btw",
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},
{
"id": 1028467016769740800,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/08/2022 20:40:44",
"content": "np",
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},
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"id": 1028467039934873600,
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"author_name": "Kosta",
"timestamp": "10/08/2022 20:40:50",
"content": ".close",
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},
{
"id": 1028467042191421400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 20:40:50",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
dd313a4a6241451c91f30161a79fb692
|
198,981 |
[
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"author_id": 805217272087838700,
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"timestamp": "04/08/2022 22:31:38",
"content": "Available help channel!",
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},
{
"id": 962179546692612200,
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"author_name": "zosh",
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"content": "help",
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},
{
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"content": "Pinned a message.",
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"timestamp": "04/08/2022 22:53:00",
"content": "@zosh Has your question been resolved?",
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"timestamp": "04/08/2022 23:24:19",
"content": "@zosh what do you need help with? not doing much good just saying help",
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"timestamp": "04/08/2022 23:34:19",
"content": "@zosh Has your question been resolved?",
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"id": 962195756373114900,
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"timestamp": "04/08/2022 23:42:25",
"content": ".close",
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},
{
"id": 962195757899853800,
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"author_name": "Mathematics Bot",
"timestamp": "04/08/2022 23:42:25",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
f909ecbb4eee466ab8df3cb0e792a732
|
198,982 |
[
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"timestamp": "10/08/2022 20:48:20",
"content": "Available help channel!",
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},
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"id": 1028480421157142500,
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"content": "Pinned a message.",
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"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:34:02",
"content": "what did i do wrong",
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},
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"id": 1028480533002461300,
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"author_name": "Goose",
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"content": "help",
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"id": 1028481373725536400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:37:47",
"content": "whats",
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},
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"id": 1028481402246795300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:37:54",
"content": "foci n vertices",
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},
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"id": 1028481405182808200,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:37:55",
"content": "fake helper help me pls",
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"id": 1028481419682529400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:37:58",
"content": "can u draw a diag",
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},
{
"id": 1028481486501978100,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:38:14",
"content": "u want me to draw a graph on my white boardey",
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},
{
"id": 1028481522149376000,
"author_id": 187850624421986300,
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"timestamp": "10/08/2022 21:38:23",
"content": "ye",
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},
{
"id": 1028481530189852700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:38:25",
"content": "sketch",
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},
{
"id": 1028481555783483500,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:38:31",
"content": "ok let me try",
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},
{
"id": 1028481560728571900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:38:32",
"content": "n mark wheres foci vertice",
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},
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"id": 1028481594060705800,
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"timestamp": "10/08/2022 21:38:40",
"content": "sir yes sir",
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},
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"id": 1028482154608459800,
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"id": 1028482159289323600,
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"timestamp": "10/08/2022 21:40:55",
"content": "look",
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"timestamp": "10/08/2022 21:41:24",
"content": "@Circle",
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"timestamp": "10/08/2022 21:41:28",
"content": "nvm idk why its so weied",
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"id": 1028482342374867000,
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"timestamp": "10/08/2022 21:41:38",
"content": "i forgot abt foci n vertex",
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"id": 1028482356564217900,
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"timestamp": "10/08/2022 21:41:42",
"content": "hahaha",
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},
{
"id": 1028482368677355500,
"author_id": 202546643327778800,
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"timestamp": "10/08/2022 21:41:44",
"content": ": (",
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{
"id": 1028482375098843300,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:41:46",
"content": "what do i du",
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{
"id": 1028482377846095900,
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"author_name": "Circle",
"timestamp": "10/08/2022 21:41:47",
"content": "some1 can help u",
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},
{
"id": 1028482395382493200,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:41:51",
"content": "D :",
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},
{
"id": 1028482427573768300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:41:59",
"content": "idk google their eq n try to mix n match",
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},
{
"id": 1028482450554355700,
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"timestamp": "10/08/2022 21:42:04",
"content": "D :::",
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},
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"id": 1028482487351001100,
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"timestamp": "10/08/2022 21:42:13",
"content": "i got this",
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},
{
"id": 1028482511594078200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:42:19",
"content": "but idk where c came from",
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{
"id": 1028482515985510500,
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"timestamp": "10/08/2022 21:42:20",
"content": "lol",
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{
"id": 1028482569261564000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:42:32",
"content": "is bad diag",
"attachments": [],
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},
{
"id": 1028482571673272300,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:42:33",
"content": "c is foci",
"attachments": [],
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},
{
"id": 1028482589025120300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:42:37",
"content": "sad",
"attachments": [],
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},
{
"id": 1028482612039266300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:42:42",
"content": "ye but",
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},
{
"id": 1028482637024731100,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:42:48",
"content": "c seems unrelated to the eq",
"attachments": [],
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},
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"id": 1028482650077405200,
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"author_name": "Circle",
"timestamp": "10/08/2022 21:42:52",
"content": "lol",
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},
{
"id": 1028482672667922400,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:42:57",
"content": "wooow",
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},
{
"id": 1028482689889734800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:43:01",
"content": "hahaha",
"attachments": [],
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},
{
"id": 1028482695497527300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:43:02",
"content": "yes",
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},
{
"id": 1028482700279021700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:43:04",
"content": "wow",
"attachments": [],
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},
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"id": 1028482725398716400,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:43:10",
"content": "ok ima put this answer wrong and get results",
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},
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"id": 1028482736186462200,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:43:12",
"content": "to see how to do it",
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},
{
"id": 1028482744864485500,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:43:14",
"content": ": (",
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},
{
"id": 1028482809465143300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:43:30",
"content": "u cld",
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},
{
"id": 1028482817451098200,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:43:31",
"content": "oh i made an extreme error",
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},
{
"id": 1028482819720224800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:43:32",
"content": "wait awhile",
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},
{
"id": 1028482837294366800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/08/2022 21:43:36",
"content": "some1else cn help",
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},
{
"id": 1028482854209994800,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:43:40",
"content": "i made a blunder",
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},
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"id": 1028482921595674800,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:43:56",
"content": "ty for helping",
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},
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"id": 1028482928503697400,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:43:58",
"content": ".close",
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},
{
"id": 1028482931250974700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 21:43:59",
"content": "Channel closed",
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}
] |
help-9
|
bf0c7fd49c614fd0a2cac54bb08b1657
|
198,983 |
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"id": 1028482952264433700,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:44:04",
"content": "now i know the sauce",
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"id": 1028483006891040800,
"author_id": 202546643327778800,
"author_name": "Goose",
"timestamp": "10/08/2022 21:44:17",
"content": "walhamdulillah and all guidance is from Allah aza wa jal",
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},
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"id": 1028493793810452500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 22:27:08",
"content": "Available help channel!",
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"id": 1028493947682701300,
"author_id": 613136530675990700,
"author_name": "Onii",
"timestamp": "10/08/2022 22:27:45",
"content": "does concave up mean the derivative graph increase? i cant rlly find that ....",
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"timestamp": "10/08/2022 22:27:46",
"content": "Pinned a message.",
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"timestamp": "10/08/2022 22:32:52",
"content": "yeah you can?",
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"id": 1028495287821537400,
"author_id": 486295789971308540,
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"timestamp": "10/08/2022 22:33:05",
"content": "ur given the graph of f'",
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"timestamp": "10/08/2022 22:33:28",
"content": "you might not be able to find precise boundries",
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"timestamp": "10/08/2022 22:33:43",
"content": "but you could find rough ones for when the graph is increasing",
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"timestamp": "10/08/2022 22:34:13",
"content": "rough onesss???",
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"timestamp": "10/08/2022 22:34:32",
"content": "like, from 3 to 5 its going up",
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"id": 1028495663811526800,
"author_id": 486295789971308540,
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"timestamp": "10/08/2022 22:34:34",
"content": "more or less",
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"timestamp": "10/08/2022 22:35:05",
"content": "they dont give the equation",
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"timestamp": "10/08/2022 22:35:18",
"content": "so u just have to eyeball",
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"timestamp": "10/08/2022 22:35:25",
"content": "could be off by like .1",
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"content": "its whatever thoguh",
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"timestamp": "10/08/2022 22:35:58",
"content": "i put (2,3), (3,5), (6,8), (7,9) and idk why its wrong",
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"timestamp": "10/08/2022 22:36:21",
"content": "?",
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"timestamp": "10/08/2022 22:36:31",
"content": "it goes up from the start to 2",
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"timestamp": "10/08/2022 22:36:43",
"content": "from 3 to 5",
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"timestamp": "10/08/2022 22:36:55",
"content": "how did u get these intervals?",
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"timestamp": "10/08/2022 22:37:09",
"content": "from these options",
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"timestamp": "10/08/2022 22:37:24",
"content": "like why did u choose those ranges",
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"timestamp": "10/08/2022 22:37:33",
"content": "what was the thought process",
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"author_name": "Hurrah",
"timestamp": "10/08/2022 22:37:51",
"content": "for (6,8) did u chose it because the graph was negative?",
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"timestamp": "10/08/2022 22:37:57",
"content": "over that interval",
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"timestamp": "10/08/2022 22:38:30",
"content": "nooo the slope is increasing so its concave up",
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"timestamp": "10/08/2022 22:38:41",
"content": "oh",
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"timestamp": "10/08/2022 22:38:44",
"content": "okie",
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"timestamp": "10/08/2022 22:39:00",
"content": "so heres how i did these types of questions",
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"timestamp": "10/08/2022 22:39:13",
"content": "i would sketch a rough f'' graph",
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"timestamp": "10/08/2022 22:39:29",
"content": "like, it goes up from -2,2, so f'' would be positive ther",
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"timestamp": "10/08/2022 22:39:38",
"content": "then it goes down for a little",
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"timestamp": "10/08/2022 22:39:41",
"content": "and so on",
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"timestamp": "10/08/2022 22:39:55",
"content": "no scale, just getting all the points f'' crosses 0",
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"timestamp": "10/08/2022 22:41:34",
"content": "total?",
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"author_name": "Onii",
"timestamp": "10/08/2022 22:42:23",
"content": "i cant tell if (2,3) is increasing, looks like increasing from negative slope towards 0??",
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"timestamp": "10/08/2022 22:42:59",
"content": "dw about the concavity of the f' graph",
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"timestamp": "10/08/2022 22:43:38",
"content": "the slope from 2 to 3 is on average negative for f', so the concavity of f would be down over (2,3)",
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"timestamp": "10/08/2022 22:44:26",
"content": "the shape looks both concave up or down lmao",
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"timestamp": "10/08/2022 22:44:34",
"content": "true",
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"timestamp": "10/08/2022 22:44:42",
"content": "so i cant telll",
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"timestamp": "10/08/2022 22:45:01",
"content": "but we dont care about f' 's concavity",
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"timestamp": "10/08/2022 22:45:17",
"content": "its going roughly down",
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"timestamp": "10/08/2022 22:45:31",
"content": "so we can be confident that f is roughly concave down",
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"timestamp": "10/08/2022 22:48:06",
"content": "for (1,6) how would u tell from a weird looking shape",
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"timestamp": "10/08/2022 22:48:13",
"content": "it looks like concave down",
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"timestamp": "10/08/2022 22:50:40",
"content": "so heres a very rough f'' graph",
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"timestamp": "10/08/2022 22:51:03",
"content": "drawn just by looking at the points where f' peaked or troughed",
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"timestamp": "10/08/2022 22:51:20",
"content": "and then seeing if it increased or decreased between two of those points",
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"timestamp": "10/08/2022 22:51:55",
"content": "f'' being positive means that f is concave up",
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"timestamp": "10/08/2022 22:52:06",
"content": "f'' being negative means that f is concave down",
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"timestamp": "10/08/2022 22:52:21",
"content": "do you think you would be able to draw such a graph?",
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"timestamp": "10/08/2022 22:52:30",
"content": "nooo 😭",
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"timestamp": "10/08/2022 22:53:00",
"content": "how would you try going about it?",
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"timestamp": "10/08/2022 22:53:13",
"content": "given this",
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"timestamp": "10/08/2022 22:53:49",
"content": "i would recommend just ignoring the detail between round points, honestly",
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"timestamp": "10/08/2022 22:54:04",
"content": "its very rarely necessary for this kind of problem",
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"timestamp": "10/08/2022 22:59:04",
"content": "like this?",
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"author_id": 486295789971308540,
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"timestamp": "10/08/2022 23:05:56",
"content": "yes!",
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"author_id": 486295789971308540,
"author_name": "Hurrah",
"timestamp": "10/08/2022 23:06:10",
"content": "from there youre pretty much done",
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},
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"id": 1028503670767231100,
"author_id": 486295789971308540,
"author_name": "Hurrah",
"timestamp": "10/08/2022 23:06:23",
"content": "its just weather the graph is positive or negative",
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},
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"id": 1028503711040942100,
"author_id": 486295789971308540,
"author_name": "Hurrah",
"timestamp": "10/08/2022 23:06:33",
"content": "dont have to worry about messy things like slope",
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},
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"id": 1028503781052264600,
"author_id": 613136530675990700,
"author_name": "Onii",
"timestamp": "10/08/2022 23:06:50",
"content": "ok thanks!!",
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},
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"id": 1028503832730280100,
"author_id": 613136530675990700,
"author_name": "Onii",
"timestamp": "10/08/2022 23:07:02",
"content": ".close",
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},
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"id": 1028503835246870500,
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"author_name": "Mathematics Bot",
"timestamp": "10/08/2022 23:07:03",
"content": "Channel closed",
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}
] |
help-9
|
a61a09fcc2eb47658c5f39bb6c6a293f
|
198,984 |
[
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"timestamp": "10/08/2022 23:12:33",
"content": "Available help channel!",
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},
{
"id": 1028506394065915900,
"author_id": 1000266360699494500,
"author_name": "Infectia",
"timestamp": "10/08/2022 23:17:13",
"content": "hi",
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"content": "Pinned a message.",
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"author_name": "end",
"timestamp": "10/08/2022 23:17:13",
"content": "Can anybody help me w this",
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"content": "@Infectia Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
85a8d29ac2724729873bffc7a71b92ae
|
198,985 |
[
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"content": "✅",
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{
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"author_id": 1000266360699494500,
"author_name": "Infectia",
"timestamp": "10/08/2022 23:32:54",
"content": "i meant to react no",
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"content": "@Infectia Has your question been resolved?",
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"timestamp": "10/09/2022 00:18:00",
"content": "@Infectia Has your question been resolved?",
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"timestamp": "10/09/2022 01:18:04",
"content": "@Infectia Has your question been resolved?",
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"id": 1028539170437746700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/09/2022 01:27:27",
"content": "im sorry i am too tired to help but you should try #linear-algebra",
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"timestamp": "10/09/2022 03:18:13",
"content": "@Infectia Has your question been resolved?",
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"id": 1028567490227355600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:19:59",
"content": "i feel like these are all straightforward proofs",
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"id": 1028567520615084000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:20:06",
"content": "just write out what the definitions are",
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},
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"id": 1028567530819825700,
"author_id": 813428768923189200,
"author_name": "darkwarriormentality",
"timestamp": "10/09/2022 03:20:09",
"content": "Did u solve",
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"id": 1028567536922533900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:20:10",
"content": "and check them all",
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},
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"id": 1028567561866055700,
"author_id": 813428768923189200,
"author_name": "darkwarriormentality",
"timestamp": "10/09/2022 03:20:16",
"content": "Agree",
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},
{
"id": 1028567850409017300,
"author_id": 1000266360699494500,
"author_name": "Infectia",
"timestamp": "10/09/2022 03:21:25",
"content": "i nkow how to prove U1+U2 is a subspace",
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},
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"id": 1028567879773327400,
"author_id": 1000266360699494500,
"author_name": "Infectia",
"timestamp": "10/09/2022 03:21:32",
"content": "idk how to apply that to n",
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},
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"id": 1028567988032520300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:21:58",
"content": "say something like",
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},
{
"id": 1028568035033891000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:22:09",
"content": "let x in U1 + U2 + ... + Un",
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},
{
"id": 1028568119251304400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:22:29",
"content": "then there exist u1 in U1, u2 in U2 ... un in Un such that x = u1 + u2 + ... + un",
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},
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"id": 1028568140575150100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:22:34",
"content": "and then maybe others",
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},
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"id": 1028568214994698200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:22:52",
"content": "and then just check the definition",
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},
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"id": 1028568305298063400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:23:13",
"content": "like closure under addition and closure under scalar multiplication",
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},
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"id": 1028568625235374200,
"author_id": 1000266360699494500,
"author_name": "Infectia",
"timestamp": "10/09/2022 03:24:30",
"content": "ok",
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},
{
"id": 1028568747453190300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:24:59",
"content": ":what:",
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},
{
"id": 1028568856110825500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:25:25",
"content": "no sorry im not really hungry for cake rn",
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},
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"id": 1028568940936433700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:25:45",
"content": "lol dont just spoonfeed the answers",
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},
{
"id": 1028569018535268400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:26:03",
"content": ":KEK:",
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},
{
"id": 1028569186580041900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 03:26:43",
"content": ":what: is even going on",
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},
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"id": 1028576805289992200,
"author_id": 1000266360699494500,
"author_name": "Infectia",
"timestamp": "10/09/2022 03:57:00",
"content": "?",
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},
{
"id": 1028578949351096300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/09/2022 04:05:31",
"content": "b&",
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},
{
"id": 1028637204551041000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 07:57:00",
"content": "@Infectia Has your question been resolved?",
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"timestamp": "10/09/2022 11:57:01",
"content": "Channel closed",
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}
] |
help-9
|
459083b29ddd4c49829ea26bbcbd7b0d
|
198,986 |
[
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"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 11:58:01",
"content": "Available help channel!",
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},
{
"id": 1028698484712419500,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/09/2022 12:00:31",
"content": "Quick \"counting onto functions\" question",
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"id": 1028698486755053600,
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"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"id": 1028698559702376600,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/09/2022 12:00:48",
"content": "What in the notation of this question implies \"onto-ness\"?",
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},
{
"id": 1028698615104950400,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/09/2022 12:01:02",
"content": "That every output need at least one input mapped to it?",
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},
{
"id": 1028699986453606500,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/09/2022 12:06:29",
"content": "Yes",
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},
{
"id": 1028700083425915000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/09/2022 12:06:52",
"content": "i.e. an “onto” function fills the entire output space",
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},
{
"id": 1028700238023758000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/09/2022 12:07:29",
"content": "More formally, y in B implies y = f(x) for some x in A",
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},
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"id": 1028702391492690000,
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"timestamp": "10/09/2022 12:16:02",
"content": "@Skywalker Has your question been resolved?",
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"id": 1028702471289319600,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/09/2022 12:16:21",
"content": "But it doesn't say anything about onto",
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"id": 1028702478755180500,
"author_id": 404546189372162050,
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"timestamp": "10/09/2022 12:16:23",
"content": "Its implied",
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"id": 1028702588230717600,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "10/09/2022 12:16:49",
"content": "Or, some aspect of the notation states it in math language",
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"id": 1028705140858945500,
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"timestamp": "10/09/2022 12:26:57",
"content": ".close",
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},
{
"id": 1028705143673327700,
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"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 12:26:58",
"content": "Channel closed",
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}
] |
help-9
|
fc0034d11f154af184339b85d91464dc
|
198,987 |
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"content": "Available help channel!",
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},
{
"id": 1028706797558694000,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:33:32",
"content": "I'm tryna make x the subject what do I do after this?",
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"content": "Pinned a message.",
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"author_id": 734334855592280200,
"author_name": "Alacris",
"timestamp": "10/09/2022 12:33:58",
"content": "Try completing the square method",
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},
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"id": 1028706957013565400,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:34:11",
"content": "How to do that",
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},
{
"id": 1028706971395825800,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:34:14",
"content": "I forgot",
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},
{
"id": 1028707033349890000,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:34:29",
"content": "Can you just tell me a simpler way",
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"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:34:40",
"content": "What to do after the last line",
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"id": 1028707080514842600,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "10/09/2022 12:34:40",
"content": "that is the simplest way",
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"author_name": "Alacris",
"timestamp": "10/09/2022 12:34:50",
"content": "This is a very simple way when you will remember it",
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"id": 1028707136500420700,
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"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "10/09/2022 12:34:53",
"content": "u ll loop into a never ending series",
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"author_name": "-Zednar",
"timestamp": "10/09/2022 12:35:19",
"content": "I've seen people solve will this way",
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"id": 1028707332319891500,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:35:40",
"content": "I ain't got time to waste",
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"id": 1028707505049718800,
"author_id": 734334855592280200,
"author_name": "Alacris",
"timestamp": "10/09/2022 12:36:21",
"content": "At the first line, try to think what (x+k)^2 is such that when you expand it the coefficient of x is 2",
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"author_name": "Alacris",
"timestamp": "10/09/2022 12:37:00",
"content": "Then rearrange the terms so that you can write y = (x+k)^2 +c",
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"timestamp": "10/09/2022 12:37:31",
"content": "where c is a constant you will find so that the RHS equals the RHS of the original equation",
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"id": 1028707859720065200,
"author_id": 849934080900726800,
"author_name": "limey",
"timestamp": "10/09/2022 12:37:46",
"content": "The very first equation can be written as \ny= (x+1) ²",
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"author_name": "Alacris",
"timestamp": "10/09/2022 12:37:59",
"content": "you just gave away the answer",
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},
{
"id": 1028707961578737700,
"author_id": 734334855592280200,
"author_name": "Alacris",
"timestamp": "10/09/2022 12:38:10",
"content": "we try to make people think for it here",
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},
{
"id": 1028708021309817000,
"author_id": 849934080900726800,
"author_name": "limey",
"timestamp": "10/09/2022 12:38:24",
"content": "bro i m sorry i m new here beh",
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},
{
"id": 1028708123361415300,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:38:49",
"content": "Now what",
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"timestamp": "10/09/2022 12:39:53",
"content": "You need to isolate x, whose power is 1",
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"id": 1028708430745178100,
"author_id": 734334855592280200,
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"timestamp": "10/09/2022 12:40:02",
"content": "How can you make the power of x 1 here?",
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"id": 1028708597187756200,
"author_id": 734334855592280200,
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"timestamp": "10/09/2022 12:40:42",
"content": "Yes, this is exactly what I was talking about",
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},
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"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/09/2022 12:41:01",
"content": ".close",
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},
{
"id": 1028708683124846700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 12:41:02",
"content": "Channel closed",
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}
] |
help-9
|
69ba2da5d674488291d5cec6c92bab1b
|
198,988 |
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"timestamp": "10/09/2022 12:41:19",
"content": "zamn",
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"timestamp": "10/09/2022 12:58:27",
"content": "Available help channel!",
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},
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"id": 1028713298398564500,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "10/09/2022 12:59:22",
"content": "Can somebody tell me what does <8,13> mean like ik what it means by <a> but idk how to interpret notations which contains more than one group element",
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"content": "Pinned a message.",
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"id": 1028713759482589300,
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"author_name": "Night Wølf",
"timestamp": "10/09/2022 13:01:12",
"content": "",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/09/2022 13:08:45",
"content": "<8, 13> is the subgroup of Z generated by the numbers 8 and 13",
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"timestamp": "10/09/2022 13:16:13",
"content": "@Night Wølf Has your question been resolved?",
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"timestamp": "10/09/2022 13:31:13",
"content": "Channel closed",
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}
] |
help-9
|
b4f24a3edddb492694d0ec94595e3b67
|
198,989 |
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"content": "Available help channel!",
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] |
help-9
|
fb090dcf006546c18979efe90e07b5b9
|
198,990 |
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"timestamp": "10/09/2022 13:46:02",
"content": "Available help channel!",
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{
"id": 1028725279046246400,
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"author_id": 765613166604320900,
"author_name": "Bibis123",
"timestamp": "10/09/2022 13:47:16",
"content": "i seperated all the numbers into prime numbers",
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"id": 1028725382570053600,
"author_id": 765613166604320900,
"author_name": "Bibis123",
"timestamp": "10/09/2022 13:47:23",
"content": "but i dont know what to do after that",
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"id": 1028725472344936600,
"author_id": 765613166604320900,
"author_name": "Bibis123",
"timestamp": "10/09/2022 13:47:45",
"content": "and even if i use phi it just doesn't work",
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"id": 1028725523800662000,
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"author_name": "Bibis123",
"timestamp": "10/09/2022 13:47:57",
"content": "i have the answer but i dont know how to get there",
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"id": 1028726398485004400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:51:26",
"content": "Whats totient(46927)?",
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"id": 1028726508484833400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:51:52",
"content": "Or actually whats the prime factorization of 46927",
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"id": 1028726532400763000,
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"author_name": "Bibis123",
"timestamp": "10/09/2022 13:51:58",
"content": "167 times 281",
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{
"id": 1028726591502700700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:52:12",
"content": "So it might be better to use CRT",
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"id": 1028726652064243700,
"author_id": 765613166604320900,
"author_name": "Bibis123",
"timestamp": "10/09/2022 13:52:26",
"content": "whats CRT",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:52:34",
"content": "Chinese remainder theorem",
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"author_name": "Bibis123",
"timestamp": "10/09/2022 13:52:46",
"content": "for the whole equation",
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"id": 1028726810613121200,
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"timestamp": "10/09/2022 13:53:04",
"content": "how would that work though",
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"id": 1028726976632082400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:53:44",
"content": "Take the expression mod167 and then mod281",
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"id": 1028727034811265000,
"author_id": 765613166604320900,
"author_name": "Bibis123",
"timestamp": "10/09/2022 13:53:57",
"content": "oh so do it twice",
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"id": 1028727054503530500,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:54:02",
"content": "Yes",
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"author_name": "Bibis123",
"timestamp": "10/09/2022 13:54:24",
"content": "and at the end just add the answers up",
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"timestamp": "10/09/2022 13:54:34",
"content": "ok i'll try that",
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"id": 1028727197961298000,
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"author_name": "Bibis123",
"timestamp": "10/09/2022 13:54:36",
"content": "thanks",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:54:51",
"content": "You dont add up the answers",
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"id": 1028727291095830500,
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"timestamp": "10/09/2022 13:54:59",
"content": "no?",
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"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:55:30",
"content": "You have to find the number mod 46927 that satisfies both congruences",
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},
{
"id": 1028727648576348300,
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"author_name": "Bibis123",
"timestamp": "10/09/2022 13:56:24",
"content": "i'm a bit lost",
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"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:56:32",
"content": "For example if you have n cong 3 mod5 and n cong 2 mod 7, the number mod35 that works is 23",
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"timestamp": "10/09/2022 13:57:31",
"content": "so how would i go about it with exponents",
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"id": 1028728032938180700,
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"timestamp": "10/09/2022 13:57:55",
"content": "see i have the answer for this question i just can't figure out how to get there",
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"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 13:58:25",
"content": "Just a quick offside, whats totient46927?",
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"timestamp": "10/09/2022 13:59:49",
"content": "i think 2",
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"timestamp": "10/09/2022 13:59:52",
"content": "or 3",
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"id": 1028728561042989000,
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"timestamp": "10/09/2022 14:00:01",
"content": "its just 1, 167, 281",
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"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 14:01:13",
"content": "Ok",
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"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 14:01:32",
"content": "So lets do 30226^26767 mod 167",
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"timestamp": "10/09/2022 14:01:56",
"content": "Since 167 is prime, we reduce the base mod 167 and the expinent mod 166",
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"author_id": 765613166604320900,
"author_name": "Bibis123",
"timestamp": "10/09/2022 14:03:22",
"content": "so then 30226^26767 mod 281 is 107",
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"author_name": "Bibis123",
"timestamp": "10/09/2022 14:03:41",
"content": "then what",
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},
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"id": 1028729871163199500,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 14:05:14",
"content": "What did you get for 167",
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"id": 1028730326924677100,
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"timestamp": "10/09/2022 14:07:02",
"content": "156",
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"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 14:07:53",
"content": "I checked with wolfran its 166",
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"timestamp": "10/09/2022 14:09:24",
"content": "oh i did it for 166 by accident",
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"timestamp": "10/09/2022 14:09:34",
"content": "so yea 166 for 167",
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"timestamp": "10/09/2022 14:09:46",
"content": "and 107 for 281",
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"id": 1028731812144500700,
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"author_name": "GarlicBredFries",
"timestamp": "10/09/2022 14:12:56",
"content": "https://youtube.com/playlist?list=PL22w63XsKjqyg3TEfDGsWoMQgWMUMjYhl check these out for a good explanation on crt, because i have a hard timenteaching it",
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},
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"id": 1028731983666352100,
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"author_name": "Bibis123",
"timestamp": "10/09/2022 14:13:37",
"content": "yea thats no problem",
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},
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"author_name": "Bibis123",
"timestamp": "10/09/2022 14:13:52",
"content": "so these videos should help me with this question",
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},
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"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 14:28:52",
"content": "@Bibis123 Has your question been resolved?",
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"timestamp": "10/09/2022 14:29:13",
"content": "hopefully after these videos",
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},
{
"id": 1028735930338639900,
"author_id": 765613166604320900,
"author_name": "Bibis123",
"timestamp": "10/09/2022 14:29:18",
"content": ".close",
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},
{
"id": 1028735933371129900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 14:29:19",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
7483b727a3894b1e8c5cb5b300aea66b
|
198,991 |
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"timestamp": "10/09/2022 14:30:19",
"content": "Available help channel!",
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},
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"id": 1028737712045436900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 14:36:23",
"content": "Pinned a message.",
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help-9
|
84b28a362f29465c8a69dff9062b0911
|
198,992 |
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"timestamp": "03/22/2022 11:05:29",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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help-9
|
e2dd0f6030954d2c8285e89585e726fd
|
198,993 |
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{
"id": 962200224338686000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 00:00:10",
"content": "Available help channel!",
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},
{
"id": 962202108122255400,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:07:39",
"content": "10-m(m+5), Find the maximum possible value",
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},
{
"id": 962202112127795200,
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"content": "Pinned a message.",
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{
"id": 962202454127153200,
"author_id": 412524124284649500,
"author_name": "M18_Slayer",
"timestamp": "04/09/2022 00:09:01",
"content": "if i wanted to round this off to 2 dp would it just be 3.92?",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:14:07",
"content": "what is m?",
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"id": 962203804818870300,
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"author_name": "Simplistic",
"timestamp": "04/09/2022 00:14:23",
"content": "your not given the value of m",
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},
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"id": 962203841917513700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:14:32",
"content": "no i mean what kind of number",
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"id": 962203977695526900,
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"author_name": "Simplistic",
"timestamp": "04/09/2022 00:15:05",
"content": "wdym",
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},
{
"id": 962204018912948200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:15:14",
"content": "like is it a whole number or",
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"id": 962204031592316900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:15:18",
"content": "decimals okay?",
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{
"id": 962204125154648000,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:15:40",
"content": "the answer is a decimal or fraction",
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"id": 962204148978307100,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:15:46",
"content": "i dont know how to get there",
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"id": 962204178657202200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:15:53",
"content": "hmm what have you tried?",
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"id": 962204189709180900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:15:55",
"content": "what class is this for?",
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"id": 962204239956947000,
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"timestamp": "04/09/2022 00:16:07",
"content": "year 9 just maths",
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"timestamp": "04/09/2022 00:16:25",
"content": "well a good first step is maybe create a function",
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"id": 962204327538217000,
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"timestamp": "04/09/2022 00:16:28",
"content": "do you know functions?",
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"id": 962204360929050600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:16:36",
"content": "like f(m)=...",
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"id": 962204467195945000,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:17:01",
"content": "like graphing them as well? i dont know how to graph it",
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"id": 962204528772526100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:17:16",
"content": "well, can you recognize what kind of object this is?",
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"id": 962204575446728700,
"author_id": 331558346333224960,
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"timestamp": "04/09/2022 00:17:27",
"content": "you must have some kind of tools to approach the problem",
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},
{
"id": 962204592882462700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:17:31",
"content": "have you seen like",
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{
"id": 962204618463531000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:17:37",
"content": "lines and parabolas before?",
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"id": 962204746922487900,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:18:08",
"content": "it was during a quadratics and perfect square class ig",
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"timestamp": "04/09/2022 00:18:21",
"content": "yea, this is a quadratic",
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"id": 962204824189927400,
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"timestamp": "04/09/2022 00:18:26",
"content": "can you convince yourself of that?",
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"timestamp": "04/09/2022 00:18:39",
"content": "yea",
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"id": 962204944671330300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:18:55",
"content": "okay",
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"id": 962204966410399900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:19:00",
"content": "what do you know about quadratics",
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{
"id": 962204990666068000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:19:06",
"content": "can you maybe get this thing into a more familiar form",
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"timestamp": "04/09/2022 00:19:24",
"content": "results in 5 plus minus root 65 over 2 i think",
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"timestamp": "04/09/2022 00:19:33",
"content": "as what?",
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"id": 962205192592437200,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:19:54",
"content": "if you make it -m^2-5m+10",
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},
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"id": 962205200934928500,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:19:56",
"content": "=0",
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},
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"id": 962205252117995500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:20:09",
"content": "did you all learn how to find vertex?",
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"id": 962205321412096100,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:20:25",
"content": "nope",
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},
{
"id": 962205393105338400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:20:42",
"content": "well you can write this thing in vertex form",
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},
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"id": 962205431495815200,
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"author_name": "jan Niku",
"timestamp": "04/09/2022 00:20:51",
"content": "you have it in standard form",
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{
"id": 962205451431313500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:20:56",
"content": "do you know how to complete the square?",
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"id": 962205481504473100,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:21:03",
"content": "yea",
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"id": 962205497241534500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:21:07",
"content": "okay",
"attachments": [],
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},
{
"id": 962205498491433000,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:21:07",
"content": "how do you write it in vertex form",
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"id": 962205532821799000,
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"timestamp": "04/09/2022 00:21:15",
"content": "you take standard form and complete the square",
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"id": 962205572306960400,
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"author_name": "jan Niku",
"timestamp": "04/09/2022 00:21:25",
"content": "this is nice because in vertex form, we can just read off the maximum value",
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"id": 962205984766455800,
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"author_name": "Simplistic",
"timestamp": "04/09/2022 00:23:03",
"content": "oh i just complete the square for -m^2-5m+10?",
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},
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"id": 962206013484855300,
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"author_name": "jan Niku",
"timestamp": "04/09/2022 00:23:10",
"content": "yea",
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"author_id": 331558346333224960,
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"timestamp": "04/09/2022 00:23:15",
"content": "think of what this is gonna look like",
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"timestamp": "04/09/2022 00:23:17",
"content": "probably like",
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"timestamp": "04/09/2022 00:23:23",
"content": "-(x-a)^2+b",
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},
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"timestamp": "04/09/2022 00:23:24",
"content": "or something",
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},
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"id": 962206152345653200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:23:43",
"content": "then where x=a, that term is 0",
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"timestamp": "04/09/2022 00:23:54",
"content": "if x is any other number, that term is negative",
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"id": 962206259199766500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:24:09",
"content": "then for what value of x do we have a maximum value of -(x-a)^2+b?",
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"id": 962206323037065200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:24:24",
"content": "and what is the maximum value?",
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"id": 962206883207323600,
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"author_name": "Simplistic",
"timestamp": "04/09/2022 00:26:37",
"content": "uh is this also with completeing the square",
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"id": 962206993987301400,
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"author_name": "jan Niku",
"timestamp": "04/09/2022 00:27:04",
"content": "well yea",
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"timestamp": "04/09/2022 00:27:14",
"content": "like you complete the square",
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"author_id": 331558346333224960,
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"timestamp": "04/09/2022 00:27:16",
"content": "you get that form",
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},
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"id": 962207094193397800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:27:28",
"content": "try just getting the square completed first",
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"id": 962207104008077300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:27:30",
"content": "then we can go from there",
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"id": 962207696373813400,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:29:51",
"content": "-(m+5/2)^2 + 65/4",
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},
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"id": 962207751629578200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:04",
"content": ",calc 65/4",
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},
{
"id": 962207753676423200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/09/2022 00:30:05",
"content": "Result:\n```\n16.25\n```",
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"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:30:17",
"content": "yea thats the answer",
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},
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"id": 962207804742041600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:17",
"content": "alright, this looks good",
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},
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"id": 962207836635553800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:25",
"content": "oh, you got it?",
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},
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:28",
"content": "do you get why thats the answer",
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"id": 962207865832112100,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:30:32",
"content": "so its just the last value?",
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},
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"id": 962207880440860700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:35",
"content": "yea",
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},
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"id": 962207891744505900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:38",
"content": "i mean think what happens",
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},
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"id": 962207932404072400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:48",
"content": "with that term -(m+5/2)^2",
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},
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"id": 962207961718071300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:30:55",
"content": "do you see why this is always negative?",
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},
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"id": 962207988276428800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:31:01",
"content": "well, its never positive at least",
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},
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"id": 962208002256044000,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:31:04",
"content": "yea",
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},
{
"id": 962208021805674500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:31:09",
"content": "so its always negative",
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},
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"id": 962208043943215100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:31:14",
"content": "best we can hope is somewhere its 0",
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},
{
"id": 962208076423889000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:31:22",
"content": "and you can probably tell exactly where its 0",
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"id": 962208113635774500,
"author_id": 455487114008723460,
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"timestamp": "04/09/2022 00:31:31",
"content": "ok",
"attachments": [],
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},
{
"id": 962208144623280100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:31:38",
"content": "then this where its taking the least away from 65/4",
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"id": 962208202081067000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:31:52",
"content": "implying the maximum value of the function overall",
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},
{
"id": 962208272230780900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:32:09",
"content": "maximum value, or location of the vertex questions",
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"id": 962208296759070700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:32:14",
"content": "you always want to complete the square since its really nice",
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},
{
"id": 962208326777729000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:32:22",
"content": "you saw how ugly the roots were for this",
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},
{
"id": 962208342892224500,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:32:25",
"content": "tysm helps a lot",
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},
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"id": 962208362936811500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/09/2022 00:32:30",
"content": "np :happy:",
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"id": 962208407014768800,
"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:32:41",
"content": "ty for your time",
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"author_id": 455487114008723460,
"author_name": "Simplistic",
"timestamp": "04/09/2022 00:32:42",
"content": ".close",
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},
{
"id": 962208412559626400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 00:32:42",
"content": "Channel closed",
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}
] |
help-9
|
4006030d09d44f7b9b82e0bba7c40801
|
198,994 |
[
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"timestamp": "10/09/2022 14:46:26",
"content": "Available help channel!",
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"id": 1028740857798611100,
"author_id": 551269104800104450,
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"timestamp": "10/09/2022 14:48:53",
"content": "$f'(x) = \\lim_{h\\to0} \\frac{f(x+h)-f(x)}{h}$",
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"content": "$f''(x) = \\lim_{h\\to0} \\frac{\\frac{f(x+2h)-f(x+h)}{h} - \\frac{f(x+h)-f(x)}{h}}{h} =\\lim_{h\\to0} \\frac{f(x+2h)-2f(x+h)+f(x)}{h^2}$",
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"content": "**EndTimes**",
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"timestamp": "10/09/2022 14:49:36",
"content": "eh good enough",
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"id": 1028741079807316100,
"author_id": 551269104800104450,
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"timestamp": "10/09/2022 14:49:46",
"content": "What are the coefficients of this expansion?",
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},
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"id": 1028741160476356700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "10/09/2022 14:50:05",
"content": "in the numerator",
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},
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"id": 1028741252910424000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "10/09/2022 14:50:27",
"content": "looks like a standard binomial but with some sign flips?",
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},
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"id": 1028741277912666200,
"author_id": 551269104800104450,
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"timestamp": "10/09/2022 14:50:33",
"content": "i can't really tell",
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"id": 1028741659275575300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "10/09/2022 14:52:04",
"content": "like the 2h, or the 2f(x+h)?",
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"id": 1028741794806116400,
"author_id": 551269104800104450,
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"timestamp": "10/09/2022 14:52:36",
"content": "obviously the numerator in the nth iteration should yield a function of:\nf(x), f(x+h) ... f(x + nh)",
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"timestamp": "10/09/2022 14:52:51",
"content": "right? so i'm just looking for what the coefficients should be",
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"id": 1028742417198878800,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "10/09/2022 14:55:05",
"content": ":thonk:",
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"id": 1028742447003615200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "10/09/2022 14:55:12",
"content": "$$f'''(x) = \\frac{\\frac{f(x+3h) - 2f(x+2h) + f(x+h)}{h^2} - \\frac{f(x+2h)-2f(x+h)+f(x)}{h^2}}{h}$$",
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"id": 1028742498253803600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "10/09/2022 14:55:24",
"content": "lol",
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"id": 1028742517623099500,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "10/09/2022 14:55:29",
"content": "you're trying to find the nth derivative?",
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"id": 1028742562791571600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "10/09/2022 14:55:40",
"content": "yeah pretty much",
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"id": 1028742602155114600,
"author_id": 551269104800104450,
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"timestamp": "10/09/2022 14:55:49",
"content": "more specifically the coefficients of the expansion",
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"id": 1028742788671619200,
"author_id": 510789298321096700,
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"timestamp": "10/09/2022 14:56:33",
"content": "**EndTimes**",
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"id": 1028742864177475700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/09/2022 14:56:51",
"content": "(further reading: https://en.wikipedia.org/wiki/Numerical_differentiation#Other_methods)",
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"timestamp": "10/09/2022 14:58:07",
"content": "ok perfect that's exactly what i was looking for",
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"timestamp": "10/09/2022 14:58:17",
"content": "so it is pretty much just a binomial",
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"timestamp": "10/09/2022 14:58:48",
"content": "the signs are the only thing to watch out for",
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"timestamp": "10/09/2022 15:13:48",
"content": "@EndTimes Has your question been resolved?",
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"timestamp": "10/09/2022 15:21:34",
"content": "Channel closed",
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}
] |
help-9
|
7e8530f265a14ea7aa0e4f4295b77658
|
198,995 |
[
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"timestamp": "10/09/2022 15:22:35",
"content": "Available help channel!",
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},
{
"id": 1028749633809293400,
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"timestamp": "10/09/2022 15:24:02",
"content": "i dont understand for d)",
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"id": 1028749728281808900,
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"timestamp": "10/09/2022 15:24:08",
"content": "you need to find R'",
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"id": 1028749746631868500,
"author_id": 747445933133791200,
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"timestamp": "10/09/2022 15:24:12",
"content": "but idk how to find that",
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"timestamp": "10/09/2022 15:26:06",
"content": "nvm i understand",
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"content": ".close",
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}
] |
help-9
|
29aa2fae3bdc48bfa5e05d9defacdb87
|
198,996 |
[
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"content": "Available help channel!",
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"id": 1028753129111552000,
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"author_name": "Gamer Dio",
"timestamp": "10/09/2022 15:37:39",
"content": "What have you tried",
"attachments": [],
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},
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"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 15:49:41",
"content": "@Delirium Has your question been resolved?",
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},
{
"id": 1028756498890887300,
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"author_name": "Delirium",
"timestamp": "10/09/2022 15:51:02",
"content": "I got y=-2x+47/3",
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},
{
"id": 1028756528108404700,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 15:51:09",
"content": "But I’m not sure if I’m right",
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},
{
"id": 1028756584635048100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 15:51:23",
"content": "Show your work",
"attachments": [],
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},
{
"id": 1028756618097217700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 15:51:31",
"content": "I don't have any scratch paper near me so I can't work it out",
"attachments": [],
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},
{
"id": 1028756637156131000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 15:51:35",
"content": "So I'll just check your work",
"attachments": [],
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},
{
"id": 1028758697855439000,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 15:59:46",
"content": "I redid it and got y=3/5x-1/5",
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},
{
"id": 1028758749084655600,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 15:59:59",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1028758749118218350/IMG_5033.jpg",
"fileName": "IMG_5033.jpg",
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}
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},
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"id": 1028758754059108500,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:00:00",
"content": "@Gamer Dio",
"attachments": [],
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},
{
"id": 1028759010104586200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:01:01",
"content": "Looks right to me",
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},
{
"id": 1028759830757916800,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:04:17",
"content": "Ty",
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},
{
"id": 1028759844641062900,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:04:20",
"content": "Also",
"attachments": [],
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},
{
"id": 1028759859354665100,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:04:23",
"content": "How would I do #3?",
"attachments": [],
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},
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"id": 1028759869953691800,
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"author_name": "Delirium",
"timestamp": "10/09/2022 16:04:26",
"content": "@Gamer Dio",
"attachments": [],
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},
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"id": 1028759917122818000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:04:37",
"content": "What have you tried",
"attachments": [],
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},
{
"id": 1028759935057670300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 16:04:41",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
aa4024d00e60467cbd10b42ab1bb552c
|
198,997 |
[
{
"id": 1028759955853029400,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:04:46",
"content": "Nothing",
"attachments": [],
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},
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"id": 1028759958973591700,
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"timestamp": "10/09/2022 16:04:49",
"content": "I’m completely lost",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1028759995208175600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:04:56",
"content": "Reopen the channel",
"attachments": [],
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"reference": null
},
{
"id": 1028760021305143400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:05:02",
"content": "\".reopen\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1028760304311611400,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:06:09",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1028760312737956000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 16:06:11",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1028760468589908100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:06:49",
"content": "If it's perpendicular to (4/3)x + 2, what should the slope be",
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},
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"id": 1028760833704071300,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:08:16",
"content": "-3/4?",
"attachments": [],
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],
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},
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"id": 1028760863290691700,
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"timestamp": "10/09/2022 16:08:23",
"content": "Yes",
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},
{
"id": 1028760912179515500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:08:34",
"content": "And what's the slope of 6x + ay = 10",
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},
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"id": 1028761001803399300,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:08:56",
"content": "-6",
"attachments": [],
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},
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"id": 1028761205998878800,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:09:44",
"content": "@Gamer Dio",
"attachments": [],
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],
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},
{
"id": 1028761409229701200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:10:33",
"content": "How'd you get that?",
"attachments": [],
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},
{
"id": 1028761448584847500,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:10:42",
"content": "y=-6x+10",
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},
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"id": 1028761930342613100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/09/2022 16:12:37",
"content": "Where'd the a go",
"attachments": [],
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},
{
"id": 1028765224456683500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 16:25:43",
"content": "@Delirium Has your question been resolved?",
"attachments": [],
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"id": 1028765255565836300,
"author_id": 592211417080266800,
"author_name": "Delirium",
"timestamp": "10/09/2022 16:25:50",
"content": "I got it",
"attachments": [],
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},
{
"id": 1028772806344839300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 16:55:50",
"content": "@Delirium Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "Delirium",
"discriminator": "8374",
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},
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"id": 1028780358537314300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 17:25:51",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c6c829cdd6294187930f10ce1d3a1cfb
|
198,998 |
[
{
"id": 1028780610258468900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 17:26:51",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1028782360440885400,
"author_id": 448005854122344450,
"author_name": "nugget",
"timestamp": "10/09/2022 17:33:48",
"content": "",
"attachments": [
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"id": 1028782363481735200,
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"timestamp": "10/09/2022 17:33:49",
"content": "Pinned a message.",
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"id": 1028782397770191000,
"author_id": 448005854122344450,
"author_name": "nugget",
"timestamp": "10/09/2022 17:33:57",
"content": "so for say d=1",
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},
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"id": 1028782427734298800,
"author_id": 448005854122344450,
"author_name": "nugget",
"timestamp": "10/09/2022 17:34:04",
"content": "how many vertices will that have when i draw it",
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},
{
"id": 1028782514015322100,
"author_id": 448005854122344450,
"author_name": "nugget",
"timestamp": "10/09/2022 17:34:25",
"content": "and also how do i know if a value of d is a simple graph",
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},
{
"id": 1028783723824562200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "10/09/2022 17:39:13",
"content": "30",
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"id": 1028783786290323600,
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"author_name": "nugget",
"timestamp": "10/09/2022 17:39:28",
"content": "ah thought so",
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},
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"timestamp": "10/09/2022 17:54:28",
"content": "@nugget Has your question been resolved?",
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"timestamp": "10/09/2022 18:09:29",
"content": "Channel closed",
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}
] |
help-9
|
32896918715844bc9b3072f93e57f9e0
|
198,999 |
[
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"timestamp": "10/09/2022 18:10:29",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1028792521553367200,
"author_id": 692801361724571800,
"author_name": "PandaNoir",
"timestamp": "10/09/2022 18:14:11",
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"id": 1028792525089144800,
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"timestamp": "10/09/2022 18:14:12",
"content": "Pinned a message.",
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"id": 1028792530768240600,
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"author_name": "PandaNoir",
"timestamp": "10/09/2022 18:14:13",
"content": "question 19",
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},
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"id": 1028793081425842300,
"author_id": 692801361724571800,
"author_name": "PandaNoir",
"timestamp": "10/09/2022 18:16:24",
"content": "Translate: if you look from the vertex a of a cube draw four diagonals as shown in the figure is indicated on the right, and you calculate the corners paq, par, pas, qar, qas, ras. How many different values do you get then?",
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"id": 1028794734182928400,
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"timestamp": "10/09/2022 18:22:58",
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"id": 1028794742202454100,
"author_id": 692801361724571800,
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"timestamp": "10/09/2022 18:23:00",
"content": "And question 23",
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"id": 1028795138379616300,
"author_id": 692801361724571800,
"author_name": "PandaNoir",
"timestamp": "10/09/2022 18:24:35",
"content": "Translate: The ratio of the large base to the small base of a trapezoid is p. The ratio of the largest upright side to the smallest upright side is q. If one draws the two diagonals, then the ratio A/B of the area of the two triangles is which do not certain the bases (see figure) equal to",
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"id": 1028796029967011800,
"author_id": 692801361724571800,
"author_name": "PandaNoir",
"timestamp": "10/09/2022 18:28:07",
"content": "@Helpers",
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},
{
"id": 1028797527727816700,
"author_id": 692801361724571800,
"author_name": "PandaNoir",
"timestamp": "10/09/2022 18:34:04",
"content": "@Helpers",
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},
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"id": 1028801303574478800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 18:49:04",
"content": "@PandaNoir Has your question been resolved?",
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"timestamp": "10/09/2022 18:50:26",
"content": "@Helpers",
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},
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"id": 1028809194712875100,
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"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 19:20:26",
"content": "@PandaNoir Has your question been resolved?",
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"timestamp": "10/09/2022 19:50:26",
"content": "Channel closed",
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}
] |
help-9
|
0c39e4796b4c4d89ada229ed8de04cef
|
199,000 |
[
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"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 19:51:27",
"content": "Available help channel!",
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},
{
"id": 1028817881720443000,
"author_id": 712501081351127200,
"author_name": "Legend2k",
"timestamp": "10/09/2022 19:54:57",
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"content": "Pinned a message.",
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"timestamp": "10/09/2022 19:55:31",
"content": "I dont know how to simplify this",
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},
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"id": 1028818311405903900,
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"author_name": "Legend2k",
"timestamp": "10/09/2022 19:56:39",
"content": "the answer is -2 - square Root of 3",
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"timestamp": "10/09/2022 20:11:40",
"content": "@Legend2k Has your question been resolved?",
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"timestamp": "10/09/2022 20:12:07",
"content": "@Helpers",
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},
{
"id": 1028826483227115500,
"author_id": 712501081351127200,
"author_name": "Legend2k",
"timestamp": "10/09/2022 20:29:08",
"content": "@Helpers",
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{
"id": 1028826710260584600,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "10/09/2022 20:30:02",
"content": "try to change the terms on the inside to get a term that will simplify to (a+b)^2 on the inside",
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"timestamp": "10/09/2022 20:31:59",
"content": "if you know the answer is -2-sqrt3, then you can reverse engineer the problem:\n-2-sqrt3 = -sqrt(2+sqrt3)^2 = -sqrt(4+4sqrt3+3)= -sqrt(7+4sqrt3)\njust try and apply the same process backwards",
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"timestamp": "10/09/2022 20:35:36",
"content": "thank you! i got it now",
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},
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"author_id": 712501081351127200,
"author_name": "Legend2k",
"timestamp": "10/09/2022 20:35:45",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 20:35:46",
"content": "Channel closed",
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}
] |
help-9
|
2eae1b79910c44bfa7b6e3b5bf4f67fe
|
199,001 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/09/2022 20:39:59",
"content": "Available help channel!",
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},
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"id": 1028830022498259000,
"author_id": 310413396434485250,
"author_name": "mei ♡",
"timestamp": "10/09/2022 20:43:12",
"content": "hi ! okay so essentially i am doing a maths module i am underqualified for but cannot drop, on manifolds. currently we are being taught about the definition of a manifold and i'm confused + unfamiliar with the notation (that i know i should know, but i don't, so I have to catch up quick) and was wondering if anyone can help me with it. anyone with backgrounds in topologies, etc should be able to help v easily",
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"content": "Pinned a message.",
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"timestamp": "10/09/2022 20:44:49",
"content": "here, i'm confused by c) as in *U* = Ui *Ui* and what that means \nmaybe the i in Ui is mostly unfamiliar to me but if someone can explain that i'd be thankful",
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"author_name": "mei ♡",
"timestamp": "10/09/2022 20:46:25",
"content": "also in this case, the curly Cs...i'm not quite sure what they mean",
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"id": 1028833984404271100,
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"author_name": "Benjamin",
"timestamp": "10/09/2022 20:58:56",
"content": "this means U is a union of the sets Ui",
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"timestamp": "10/09/2022 20:59:30",
"content": "Ui being a family of sets indexed by i",
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"id": 1028834270027989100,
"author_id": 166861640178991100,
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"timestamp": "10/09/2022 21:00:04",
"content": "curly C ^k means a function is differentiable k times and the kth derivative is continuous",
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"author_name": "mei ♡",
"timestamp": "10/09/2022 21:00:19",
"content": "ohhh",
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"timestamp": "10/09/2022 21:00:42",
"content": "got it ! ty !!!",
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"timestamp": "10/09/2022 21:01:10",
"content": ":catthumbsup:",
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"timestamp": "10/09/2022 21:15:42",
"content": "@mei ♡ Has your question been resolved?",
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"author_id": 1028515761385390200,
"author_name": "grayson_t20",
"timestamp": "10/09/2022 21:30:08",
"content": "any hard math classes in college that can help boost your gpa",
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},
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"timestamp": "10/09/2022 21:30:42",
"content": "Channel closed",
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}
] |
help-9
|
00751418fabb4ab7bd721721617f59ca
|
199,002 |
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"content": "Available help channel!",
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},
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"timestamp": "10/09/2022 21:32:44",
"content": "Can someone help me with this",
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"content": "Pinned a message.",
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"content": "@BossXT Has your question been resolved?",
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"content": "@BossXT Has your question been resolved?",
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"content": "@BossXT Has your question been resolved?",
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] |
help-9
|
d276ae38f8f440d8980e67ea9eb633c1
|
199,003 |
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "10/10/2022 00:34:32",
"content": "Hello",
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"id": 1028888360942571500,
"author_id": 1020490315687284700,
"author_name": "CompE",
"timestamp": "10/10/2022 00:35:01",
"content": "I am having issues with mathematica. I am trying to find the gradient of f at 1,1,1 but I am getting strange output",
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"id": 1028888455230542000,
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"timestamp": "10/10/2022 00:35:23",
"content": "it was working before but now it isnt. I have no idea why this is happeing",
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"id": 1028888575233757200,
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"author_name": "CompE",
"timestamp": "10/10/2022 00:35:52",
"content": "ah I see I have an extra _ between the y and z. Removing that didnt solve the issue though",
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"timestamp": "10/10/2022 00:36:30",
"content": "the gradient should be 2x, 2y, 2z. Idk why the output looks like that",
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"id": 1028890528009433100,
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"author_name": "stabulo",
"timestamp": "10/10/2022 00:43:37",
"content": "The first line needs an additional comma in f[x_,y_,z)]",
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"id": 1028891311492833400,
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"timestamp": "10/10/2022 00:46:44",
"content": "f[x_, y_, z_] = x^2 + y^2 + z^2\ngradf[x_, y_, z_] = Grad[f[x, y, z], {x, y, z}]\ngradf[1, 1, 1]",
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"timestamp": "10/10/2022 00:51:44",
"content": "@CompE Has your question been resolved?",
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"timestamp": "10/10/2022 00:52:54",
"content": "If Mathematica is still giving the same error copy your code and then restart it. Sometimes it does errors which will just not be fixed no matter how much you check.",
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"id": 1028892943140012200,
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"timestamp": "10/10/2022 00:53:13",
"content": "Thats really frustrating it happens often",
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"author_name": "CompE",
"timestamp": "10/10/2022 00:53:30",
"content": "Never thought id say this but i miss matlab from last semester",
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"id": 1028893053190148100,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "10/10/2022 00:53:39",
"content": "Get the application.",
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},
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"id": 1028893092255903700,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "10/10/2022 00:53:49",
"content": "I don't get the problem often.",
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"id": 1028893706637557800,
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"author_name": "stabulo",
"timestamp": "10/10/2022 00:56:15",
"content": "Your z in the first line is not showing up as blue so it's not considered a variable as far as I know. z has probably been given some value if you ever used z = something.",
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"timestamp": "10/10/2022 00:56:25",
"content": "yeah when I use two parameters it works fine",
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"timestamp": "10/10/2022 00:56:47",
"content": "hm maybe but I created a new notebook and i am still having issues. I will try w instead of z",
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"timestamp": "10/10/2022 00:57:13",
"content": "Use ctrl 6 to make the powers neater too if you wish.",
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"id": 1028894044832682100,
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"timestamp": "10/10/2022 00:57:36",
"content": "oh nice",
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"id": 1028894237233782800,
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"author_name": "stabulo",
"timestamp": "10/10/2022 00:58:22",
"content": "I'll copy some rough notes I made along the way from various things in Mathematica if you wish to use them.",
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"timestamp": "10/10/2022 01:01:03",
"content": "yeah thats a lot. Some of this I can use though",
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"id": 1028894984511955000,
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"author_name": "stabulo",
"timestamp": "10/10/2022 01:01:20",
"content": "The stuff in this is stuff I wish I could have been given.",
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"id": 1028895105861550100,
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"timestamp": "10/10/2022 01:01:49",
"content": "Especially when it plots everything in these ridiculous boxes",
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"timestamp": "10/10/2022 01:02:03",
"content": "and the axis labels are in no mans land.",
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"timestamp": "10/10/2022 01:31:03",
"content": "@CompE Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 01:31:10",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
bf3646ff72bb48cba79e05a8f1985967
|
199,004 |
[
{
"id": 962208666726068200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 00:33:43",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 962220577823785000,
"author_id": 621954973013377000,
"author_name": "Kabel",
"timestamp": "04/09/2022 01:21:02",
"content": "This question relates to nested quantifiers \nSuppose that the domain consists of the real numbers. Translate the propositions.\n∀x∀y:(x>2)∧(y>2)→(xy>4)",
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"timestamp": "04/09/2022 01:21:03",
"content": "Pinned a message.",
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"id": 962220721197695000,
"author_id": 621954973013377000,
"author_name": "Kabel",
"timestamp": "04/09/2022 01:21:37",
"content": "Would anyone explain to me how to do this question or push me in the right direction, trying to learn this topic but can't seem to wrap my head around it",
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},
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"timestamp": "04/09/2022 01:36:37",
"content": "@Kabel Has your question been resolved?",
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"timestamp": "04/09/2022 01:51:37",
"content": "Channel closed",
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}
] |
help-9
|
1c7b3c8c9e6a45b98b4c337a737a76bc
|
199,005 |
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"timestamp": "10/10/2022 01:32:10",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1028906149145231500,
"author_id": 939154721065824300,
"author_name": "winter",
"timestamp": "10/10/2022 01:45:42",
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"timestamp": "10/10/2022 01:45:42",
"content": "Pinned a message.",
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"author_name": "winter",
"timestamp": "10/10/2022 01:45:54",
"content": "can anyone help?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 02:00:54",
"content": "@winter Has your question been resolved?",
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"timestamp": "10/10/2022 02:12:57",
"content": ".close",
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"id": 1028913013371174900,
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"content": "Channel closed",
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] |
help-9
|
d6f3d694c8ed4be9bffc6c7d15acc9e4
|
199,006 |
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{
"id": 1028914589200552000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 02:19:14",
"content": "Available help channel!",
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},
{
"id": 1028916121329483800,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:25:19",
"content": "simple easy one, I just have to make sure it's right with myself or I'll go nuts. Factoring polynomials: 12x^2-27y^2. \nI know the GFC is 3 so the answer is\n3(×)4x^2 - 3(×)9y^2\nBut does that mean the final answer is\n3(4x^2-9y^2) \n?",
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"id": 1028916123363725300,
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"content": "Pinned a message.",
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"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:25:52",
"content": "NO IM STUPID",
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"id": 1028916297397969000,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:26:01",
"content": "I LITERALLY CAN JUST MULTIPLY IT",
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"id": 1028916305677516800,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:26:03",
"content": "IM DUMB",
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"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:26:08",
"content": "How do I delete this",
"attachments": [],
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},
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"id": 1028916387541950500,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:26:23",
"content": "I'm really tired",
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},
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"id": 1028916450523627500,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/10/2022 02:26:38",
"content": "Difference of two squares here",
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"id": 1028916511550754800,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:26:52",
"content": "thank you",
"attachments": [],
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},
{
"id": 1028916625031839700,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:27:19",
"content": "a^2-b^2=(a-b)(a+b)",
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"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:27:28",
"content": "right?",
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"id": 1028916675699015800,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/10/2022 02:27:31",
"content": "Yes",
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"id": 1028916689657675800,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:27:35",
"content": "🙂",
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},
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"id": 1028916716299878400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/10/2022 02:27:41",
"content": "So 4x^2 - 9y^2 is what?",
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"id": 1028916854086979600,
"author_id": 167834141847584770,
"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:28:14",
"content": "(4x-9y)(4x+9y)",
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},
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"id": 1028916985666490400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/10/2022 02:28:45",
"content": "Not quite",
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"id": 1028917125219365000,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/10/2022 02:29:19",
"content": "You can rewrite it as $(2x)^2 - (3y)^2$",
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"id": 1028917135436685400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/10/2022 02:29:21",
"content": "**Pure**",
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"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:29:50",
"content": "oh, I think I get it now",
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"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:30:20",
"content": "that's more simple",
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"author_name": "CapnZaq",
"timestamp": "10/10/2022 02:31:41",
"content": "I sincerely appreciate it, thank you",
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"id": 1028918269140283400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/10/2022 02:33:51",
"content": ":catthumbsup:",
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"timestamp": "10/10/2022 02:46:41",
"content": "@CapnZaq Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
528568afa87844aeb016fe95750f3b66
|
199,007 |
[
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 03:18:56",
"content": "Available help channel!",
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},
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"id": 1028934155817455600,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:36:59",
"content": "Hello everyone (infinite attempt assignemnt not for marks)\n\nI dont understand this really at all",
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"timestamp": "10/10/2022 03:37:00",
"content": "Pinned a message.",
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"id": 1028934482838945900,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:38:17",
"content": "Ok so at the top we have a piecewise function, they are called as such because they are defined in pieces",
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"id": 1028934552992890900,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:38:34",
"content": "The question is telling you that you want to find the derivative at (0,0)",
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:38:34",
"content": "right",
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"id": 1028934593841201200,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:38:43",
"content": "Which means x = 0",
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},
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"id": 1028934630272938000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:38:52",
"content": "So what piece of this function will we need?",
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"id": 1028934633120866300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:38:53",
"content": "indeed",
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"id": 1028934669930074100,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:39:01",
"content": "both",
"attachments": [],
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"id": 1028934729401122800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:39:16",
"content": "for one side and the other",
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},
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"id": 1028934733968703600,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:39:17",
"content": "No we need only one piece because only one piece is defined at x=0",
"attachments": [],
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"id": 1028934804122640400,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:39:33",
"content": "oh",
"attachments": [],
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},
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"id": 1028934842420834300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:39:43",
"content": "erm hmm",
"attachments": [],
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},
{
"id": 1028934845709164500,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:39:43",
"content": "Which piece is that?",
"attachments": [],
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},
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"id": 1028934877808185300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:39:51",
"content": "the first one",
"attachments": [],
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},
{
"id": 1028934969374015500,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:40:13",
"content": "oh",
"attachments": [],
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},
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"id": 1028935101846929400,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:40:44",
"content": "So we can ignore that second piece and only focus on what happens when f(x) = 6x + tanx",
"attachments": [],
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},
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"id": 1028935166137217000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:41:00",
"content": "Do you think you can determine the differentiability of this function?",
"attachments": [],
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"id": 1028935213419614300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:41:11",
"content": "yus",
"attachments": [],
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},
{
"id": 1028935229240520800,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:41:15",
"content": "Nice",
"attachments": [],
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},
{
"id": 1028935245183070200,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:41:19",
"content": "its like",
"attachments": [],
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},
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"id": 1028935278078988300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:41:26",
"content": "6 + csc^2(x)",
"attachments": [],
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},
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"id": 1028935288124354600,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:41:29",
"content": "iirc",
"attachments": [],
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},
{
"id": 1028935325428486100,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:41:38",
"content": "as",
"attachments": [],
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},
{
"id": 1028935339680727000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:41:41",
"content": "it goes to 0",
"attachments": [],
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},
{
"id": 1028935346060275700,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:41:43",
"content": "its 6",
"attachments": [],
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},
{
"id": 1028935376003403800,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:41:50",
"content": "Yeah something like that I suppose",
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"id": 1028935686738419800,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:43:04",
"content": "The question wants you to do it from first principles (using that lim fraction thingy) but yeah that’s a quick way to show to yourself that it is indeed differentiable",
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"id": 1028935764760854500,
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"timestamp": "10/10/2022 03:43:23",
"content": "what fraction thingy?",
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},
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"id": 1028935785166164100,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:43:27",
"content": "oh",
"attachments": [],
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},
{
"id": 1028935855504629800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:43:44",
"content": "that method is slow and lame",
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},
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"author_name": "Joy!",
"timestamp": "10/10/2022 03:43:49",
"content": "For real",
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:44:13",
"content": "okie what about the other bit",
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"timestamp": "10/10/2022 03:44:16",
"content": "cus why is the other one 0",
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{
"id": 1028936158568263700,
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"timestamp": "10/10/2022 03:44:56",
"content": "it gave me the answers",
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},
{
"id": 1028936168752042000,
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"timestamp": "10/10/2022 03:44:59",
"content": "its 0 and 6",
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"id": 1028936219511492600,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:45:11",
"content": "What do you mean",
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},
{
"id": 1028936297160642600,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:45:29",
"content": "as the limit approcahes 0 from the left its 0",
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},
{
"id": 1028936321718308900,
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:45:35",
"content": "but when it approaches from the right its 6",
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{
"id": 1028936328731164700,
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"timestamp": "10/10/2022 03:45:37",
"content": "idk why",
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"timestamp": "10/10/2022 03:45:52",
"content": "",
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"id": 1028936419877601400,
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"author_name": "Joy!",
"timestamp": "10/10/2022 03:45:59",
"content": "OH SHIT I did not read the question correctly 🤦♂️",
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},
{
"id": 1028936479268941800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:46:13",
"content": "no worries infinite attempts",
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},
{
"id": 1028936509216280600,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:46:20",
"content": "Right we will need both pieces, that’s my bad, let’s start again",
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},
{
"id": 1028936770676600800,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:47:22",
"content": "Forget what I said before, as you said this function approaches two different things from the left and right",
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},
{
"id": 1028936989363421200,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:48:14",
"content": "The f in those two fractions in the picture changes depending on where x is",
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},
{
"id": 1028937188852912100,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:49:02",
"content": "When x >= 0 f(x) = 6x + tanx and when x < 0 f(x) = 4x^2",
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},
{
"id": 1028937231488012300,
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:49:12",
"content": "ah right",
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},
{
"id": 1028937253579411500,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:49:17",
"content": "one thing i dont get",
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},
{
"id": 1028937278858481700,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:49:24",
"content": "yeah I understand now",
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},
{
"id": 1028937283778396200,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:49:25",
"content": "but like",
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},
{
"id": 1028937301180555300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:49:29",
"content": "it is never 0",
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},
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"id": 1028937331778011300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:49:36",
"content": "so for the one approaching from the left",
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},
{
"id": 1028937366586536000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:49:44",
"content": "why is there even a one sided limit",
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},
{
"id": 1028937473813917700,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:50:10",
"content": "i guess its so close to 0",
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},
{
"id": 1028937486870777900,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:50:13",
"content": "it just is?",
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},
{
"id": 1028937538364260400,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:50:25",
"content": "… yeah actually you’re correct, the first fraction should be equal to 8",
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},
{
"id": 1028937560208179200,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:50:31",
"content": "Not 0",
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},
{
"id": 1028937741645402100,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:51:14",
"content": "I don’t know why it’s not to be honest",
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},
{
"id": 1028937831764197400,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:51:35",
"content": "wut im correct?",
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},
{
"id": 1028937849694867500,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:51:40",
"content": "Either way the limits don’t agree from the left or right, therefore the function is not continuous, therefore the function is not differentiable",
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},
{
"id": 1028937948441350100,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:52:03",
"content": "Like idk why it’s 0 either, it should be 8",
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},
{
"id": 1028937960218964000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:52:06",
"content": "how should the first fraction be 0",
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},
{
"id": 1028937973724622800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:52:09",
"content": "*8",
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},
{
"id": 1028938040460193800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:52:25",
"content": "isent the derivative of it 2x",
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},
{
"id": 1028938061423317000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:52:30",
"content": "so as it approaches 0 its just 0",
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},
{
"id": 1028938137231179800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:52:48",
"content": "and sinse its less than but approaching 0 its the left handed limit",
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},
{
"id": 1028938306295169200,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:53:28",
"content": "Oh shit yeah 4x^2 has derivative 8x which is 0 when you plug in x=0 yeah sorry for some reason I thought we were plugging in x=1",
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},
{
"id": 1028938354982662100,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:53:40",
"content": "all g",
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},
{
"id": 1028938404492218500,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:53:52",
"content": "i haz one more q",
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},
{
"id": 1028938435169374300,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:53:59",
"content": "Yea go head",
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},
{
"id": 1028938448960245800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:54:02",
"content": "well actually a few more",
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},
{
"id": 1028938461698338800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:54:06",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1028938461350211585/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 75576
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{
"id": 1028938466366603300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:54:07",
"content": "voici",
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},
{
"id": 1028938476827181000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:54:09",
"content": "monsieur",
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},
{
"id": 1028938854104834000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:55:39",
"content": "btw just to prove this aint like a test or nothin",
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{
"id": 1028938861675561000,
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:55:41",
"content": "",
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"id": 1028938867446911000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:55:42",
"content": "its already done",
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},
{
"id": 1028938891257991300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:55:48",
"content": "i did it but i have no idea how i got there",
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},
{
"id": 1028938907745800200,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:55:52",
"content": "this is just review",
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},
{
"id": 1028938963618123800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 03:56:05",
"content": "in the previous question your derivative was wrong and/or you didn't plug in x=0 properly",
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},
{
"id": 1028939099429666800,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:56:38",
"content": "huh",
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},
{
"id": 1028939161178226700,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:56:52",
"content": "but we got to the right answers",
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},
{
"id": 1028939425968828400,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:57:55",
"content": "monsieur joy",
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},
{
"id": 1028939509485818000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:58:15",
"content": "Yeah wassup sorry",
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},
{
"id": 1028939545540055000,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:58:24",
"content": "do u understand the 2nd photo",
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},
{
"id": 1028939555660890100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 03:58:26",
"content": "what was your derivative of 6x + tan(x)",
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},
{
"id": 1028939604641976300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:58:38",
"content": "it was 6 + csc^2(x)",
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},
{
"id": 1028939637760217200,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:58:46",
"content": "but",
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},
{
"id": 1028939640557805600,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:58:47",
"content": "It’s actually sec^2",
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},
{
"id": 1028939659004350500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 03:58:51",
"content": "derivative of tan(x) isn't csc^2(x)",
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"reference": null
},
{
"id": 1028939675030798300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:58:55",
"content": "oh",
"attachments": [],
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},
{
"id": 1028939706731331600,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:59:02",
"content": "is it sec^2(x)",
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},
{
"id": 1028939741422428300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:59:11",
"content": "damn it it always get it mixed up",
"attachments": [],
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},
{
"id": 1028939773861171300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 03:59:18",
"content": "csc(x) is undefined at 0 as well",
"attachments": [],
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},
{
"id": 1028939784288227300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:59:21",
"content": "and i know ima have to show how to get there using the lame and boring way",
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},
{
"id": 1028939816466907100,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:59:29",
"content": "on a real test",
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},
{
"id": 1028939872230195200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 03:59:42",
"content": "sec^2(x) is the correct derivative",
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},
{
"id": 1028939906350850000,
"author_id": 828317890297856000,
"author_name": "irresponsibleDeb",
"timestamp": "10/10/2022 03:59:50",
"content": "yo",
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},
{
"id": 1028939911673434100,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 03:59:51",
"content": "Maths is all lame and boring 🙂",
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},
{
"id": 1028939927003607000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 03:59:55",
"content": "what's the value of that at x=0",
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},
{
"id": 1028939945232060500,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 03:59:59",
"content": "i like u joy",
"attachments": [],
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},
{
"id": 1028939946402255000,
"author_id": 828317890297856000,
"author_name": "irresponsibleDeb",
"timestamp": "10/10/2022 04:00:00",
"content": "unagreeable",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1028939962273497100,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:00:03",
"content": "wanna be fwiends",
"attachments": [],
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},
{
"id": 1028940039150907400,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:00:22",
"content": "Hell ye brother",
"attachments": [],
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"reference": null
},
{
"id": 1028940069895159900,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:00:29",
"content": "Do you know how to graph tanx",
"attachments": [],
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},
{
"id": 1028940104502362100,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:00:37",
"content": "desmos does 😎",
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},
{
"id": 1028940125637464000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:00:42",
"content": "Nice",
"attachments": [],
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},
{
"id": 1028940332232089600,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:01:31",
"content": "ok but fr i have no idea",
"attachments": [],
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"reference": null
},
{
"id": 1028940353979551700,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:01:37",
"content": "Here’s tanx",
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"timestamp": "10/10/2022 04:01:42",
"content": "Defined in the region they gave",
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"content": "i see i see",
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"author_name": "Joy!",
"timestamp": "10/10/2022 04:02:09",
"content": "They asked you to graph its derivative too but tbh we can answer the question just by looking at this graph",
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"timestamp": "10/10/2022 04:02:42",
"content": "right",
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"id": 1028940702899507200,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:03:00",
"content": "It clearly doesn’t have a largest slope because it will just keep increasing as you approach pi/2",
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"timestamp": "10/10/2022 04:03:11",
"content": "i see",
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"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:03:39",
"content": "This becomes more obvious if you graph sec^2(x) which is the derivative of tan(x)",
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"author_name": "Joy!",
"timestamp": "10/10/2022 04:04:09",
"content": "You will notice that the graph goes to infinity as x approaches pi/2",
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"timestamp": "10/10/2022 04:04:36",
"content": "indeed it does",
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{
"id": 1028941122971643900,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:04:40",
"content": "that is kinda cool",
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},
{
"id": 1028941337136996400,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:05:31",
"content": "In the first question, by “flattest” they mean “smallest”",
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{
"id": 1028941423451578400,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:05:52",
"content": "You can see in the graph of sec^2(x) that it takes the smallest value at x=0",
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"id": 1028941719783362600,
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"author_name": "Joy!",
"timestamp": "10/10/2022 04:07:02",
"content": "And for the third question you can clearly see tan(x) never has a negative slope, if you look at sec^2(x), you will notice it is never less than 0",
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"id": 1028941935924236300,
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:07:54",
"content": "i see i see",
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},
{
"id": 1028941988436918300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:08:06",
"content": "ok im about to ask a really potentially big or dumb question",
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"id": 1028942078245351400,
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:08:28",
"content": "i am starting to see a correlation between limits and derivatives",
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"timestamp": "10/10/2022 04:08:39",
"content": "the only corelation I know is newtons quiotent to find the derivative",
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:08:57",
"content": "but like theres something else I dont know but I can feel something is important here that I dont see",
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"timestamp": "10/10/2022 04:09:22",
"content": "newtons quoitent being the fraction thingy",
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{
"id": 1028942415777767400,
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"timestamp": "10/10/2022 04:09:48",
"content": "i just dont know what other coreleration there is",
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"id": 1028942459461447800,
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"author_name": "Joy!",
"timestamp": "10/10/2022 04:09:59",
"content": "Well…",
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{
"id": 1028942585290576000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:10:29",
"content": "Taking the limit of a function is actually not something Newton knew about when he made calculus",
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"author_name": "Joy!",
"timestamp": "10/10/2022 04:11:48",
"content": "They are indeed related don’t get me wrong, their relation will become much more obvious if you decide to take maths in university but for now I can tell you this:",
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"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:12:24",
"content": "Go back into Desmos and just keep zooming into a random piece of some function such as tanx",
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},
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:12:42",
"content": "i am a first year in uni lolololol",
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"author_name": "Joy!",
"timestamp": "10/10/2022 04:12:52",
"content": "The graph looks curvy, but as you keep zooming in closer and closer it starts to look like a straight line",
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"timestamp": "10/10/2022 04:13:00",
"content": "Loooooooool I meant pure maths sorry",
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"timestamp": "10/10/2022 04:13:23",
"content": "o ok pogU not doing that",
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"timestamp": "10/10/2022 04:13:34",
"content": "yup",
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"author_id": 828317890297856000,
"author_name": "irresponsibleDeb",
"timestamp": "10/10/2022 04:13:59",
"content": ".",
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"id": 1028943519311741000,
"author_id": 828317890297856000,
"author_name": "irresponsibleDeb",
"timestamp": "10/10/2022 04:14:11",
"content": "sup",
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{
"id": 1028943530187559000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:14:14",
"content": "And you know how to find the slope of a straight line right?",
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"id": 1028943566099185700,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:14:23",
"content": "yes",
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{
"id": 1028943693949968400,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:14:53",
"content": "Notice that the Newton quotient is literally just the slope of a straight line",
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{
"id": 1028943765542539300,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:15:10",
"content": "oh right yeah I remember",
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},
{
"id": 1028943797213741000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:15:18",
"content": "And that lim next to it is telling us “zoom in so far into the curve until it looks like a straight line”",
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},
{
"id": 1028943853299974100,
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"timestamp": "10/10/2022 04:15:31",
"content": "right",
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},
{
"id": 1028943997894398000,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:16:05",
"content": "So ye, we use limits to define derivatives because they give us a very natural way to think of a piece of a curve as a straight line",
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"timestamp": "10/10/2022 04:16:20",
"content": "yup",
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{
"id": 1028944065431097300,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:16:22",
"content": "That’s how they are related",
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:16:46",
"content": "thank you that cleared it up",
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{
"id": 1028944219454308400,
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:16:58",
"content": "one more question",
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"timestamp": "10/10/2022 04:17:01",
"content": "",
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"timestamp": "10/10/2022 04:17:05",
"content": "this was a raid boss question",
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{
"id": 1028944310957248500,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:17:20",
"content": "i was supposed to use the squeeze theorm here",
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},
{
"id": 1028944379571863600,
"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:17:36",
"content": "but then when I asked for the answer",
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{
"id": 1028944446454255600,
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"timestamp": "10/10/2022 04:17:52",
"content": "it was just like remember as \"use the squeeze theorm\" cos(x)/x approaches inf its 0 or something",
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"id": 1028944583415050200,
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"author_name": "Joy!",
"timestamp": "10/10/2022 04:18:25",
"content": "Oh nah I can’t help you with that one bro you’re gonna have to ask someone else",
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"id": 1028944616361300000,
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"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:18:33",
"content": "oh no",
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"id": 1028944674133647400,
"author_id": 177490721354416130,
"author_name": "Joy!",
"timestamp": "10/10/2022 04:18:47",
"content": "I’d recommend starting a new help channel so it’s at the top (close this one tho)",
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},
{
"id": 1028944842337816600,
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"timestamp": "10/10/2022 04:19:27",
"content": "ok ty monsieur joy i sent fr",
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"id": 1028944885295878100,
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"timestamp": "10/10/2022 04:19:37",
"content": "You got this bro",
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},
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"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:19:46",
"content": "thank you :D",
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},
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"author_id": 316302180531568640,
"author_name": "Skeeter4life",
"timestamp": "10/10/2022 04:19:49",
"content": ".close",
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},
{
"id": 1028944939536633900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 04:19:50",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
77c65145c434431b8ecf4e753901dcc0
|
199,008 |
[
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"timestamp": "10/10/2022 04:43:42",
"content": "Available help channel!",
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},
{
"id": 1028951801682198700,
"author_id": 805217272087838700,
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"timestamp": "10/10/2022 04:47:06",
"content": "Pinned a message.",
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"timestamp": "10/10/2022 04:47:59",
"content": "what have you tried?",
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"timestamp": "10/10/2022 05:02:06",
"content": "@Farout Has your question been resolved?",
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"timestamp": "10/10/2022 05:04:02",
"content": "i ask again...",
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},
{
"id": 1028956073031372800,
"author_id": 200013547491688450,
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"timestamp": "10/10/2022 05:04:04",
"content": "what have you tried?",
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},
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"id": 1028962822727680000,
"author_id": 828317890297856000,
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"timestamp": "10/10/2022 05:30:54",
"content": "where can i get alzebra ?",
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},
{
"id": 1028963014445121500,
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"author_name": "irresponsibleDeb",
"timestamp": "10/10/2022 05:31:39",
"content": "wait tf is the 6/ 1:3:5?",
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},
{
"id": 1028963045533302900,
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"timestamp": "10/10/2022 05:31:47",
"content": "that*",
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},
{
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"timestamp": "10/10/2022 05:41:47",
"content": "@Farout Has your question been resolved?",
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"timestamp": "10/10/2022 05:47:21",
"content": "Channel closed",
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}
] |
help-9
|
164da43f640342c4b003cbf3cc6b5908
|
199,009 |
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"timestamp": "10/10/2022 05:48:21",
"content": "Available help channel!",
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},
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"id": 1028973046565965800,
"author_id": 519581465814630400,
"author_name": "danymsr",
"timestamp": "10/10/2022 06:11:31",
"content": "Hi someone can tell me how we went from the second last step ( a cos(pi/2-beta).... to the last step (-sin beta Ux.... please",
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"timestamp": "10/10/2022 06:11:32",
"content": "Pinned a message.",
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"timestamp": "10/10/2022 06:19:59",
"content": "cos(pi/2 -theta) = sin(theta) this is used",
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"timestamp": "10/10/2022 06:20:50",
"content": "ok but then why is there a - in front of sin at the end?",
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"timestamp": "10/10/2022 06:22:22",
"content": "ig that should be ay and youve missed ax in front of cos",
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"content": "What ?",
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"id": 1028976374242877400,
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"author_name": "srbh901",
"timestamp": "10/10/2022 06:24:45",
"content": "in second last line it is acos(pi/2-b)Ux it will become asin(b)ux",
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"timestamp": "10/10/2022 06:24:57",
"content": "and same for the second term",
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"author_name": "danymsr",
"timestamp": "10/10/2022 06:27:27",
"content": "ok but so the - in front of acos alpha the 2nd line why it should be in the 3rd line acos....",
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},
{
"id": 1028977130916286500,
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"author_name": "danymsr",
"timestamp": "10/10/2022 06:27:45",
"content": "Why does the - disappear?",
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},
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"id": 1028977659419578400,
"author_id": 519581465814630400,
"author_name": "danymsr",
"timestamp": "10/10/2022 06:29:51",
"content": "@srbh901 ?",
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"timestamp": "10/10/2022 06:31:54",
"content": "it should not disappear..",
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"timestamp": "10/10/2022 06:32:04",
"content": "maybe somethings wrong",
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},
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"id": 1028978568744665100,
"author_id": 519581465814630400,
"author_name": "danymsr",
"timestamp": "10/10/2022 06:33:28",
"content": "can show me in detail the steps because I think I forgot something in my calculation",
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"timestamp": "10/10/2022 06:38:53",
"content": "@srbh901 ?",
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"content": "@danymsr Has your question been resolved?",
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"content": "@danymsr Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
91649002ae194f2386469da3a0e24a2a
|
199,010 |
[
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"timestamp": "10/10/2022 07:55:00",
"content": "Available help channel!",
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},
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"id": 1029002975466766300,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:10:27",
"content": "Probably a dumb question, but how did they convert between the two?",
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"content": "calculator",
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"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:11:21",
"content": "a calculator provides answer in dms?",
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"id": 1029003229691908200,
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"timestamp": "10/10/2022 08:11:27",
"content": "it can",
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"id": 1029003232422400100,
"author_id": 183668144404037630,
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"content": "some calculators do",
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"id": 1029003273698541600,
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"author_name": "斗地姿",
"timestamp": "10/10/2022 08:11:38",
"content": "I see",
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"timestamp": "10/10/2022 08:11:43",
"content": "even if it doesn't, converting decimal degrees into degrees, minutes and seconds is not very hard",
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"id": 1029003340241195100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/10/2022 08:11:54",
"content": "provided you know that 1° = 60' and 1' = 60\"",
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},
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"id": 1029003386399506400,
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"author_name": "ramonov",
"timestamp": "10/10/2022 08:12:05",
"content": "or at least hand held scientific calcs should be able to do so",
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},
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"id": 1029003438975107200,
"author_id": 687632422212468900,
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"timestamp": "10/10/2022 08:12:17",
"content": "Right but it's like 11.5558992559 so",
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"id": 1029003489554219000,
"author_id": 183668144404037630,
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"timestamp": "10/10/2022 08:12:29",
"content": ",calc 11 + 33/60 + 21/3600",
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},
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"id": 1029003490984472700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/10/2022 08:12:30",
"content": "Result:\n```\n11.555833333333\n```",
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"id": 1029003492335042600,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:12:30",
"content": "I guess i can see the 33 minutes not sure how i can get an accurate seconds though",
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"content": "${}\\circ '\"$",
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"id": 1029003511804993500,
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"author_name": "TeXit",
"timestamp": "10/10/2022 08:12:35",
"content": "**ℝamonov**",
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"timestamp": "10/10/2022 08:12:43",
"content": "you might have one of those buttons on your calc",
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"id": 1029003557216727000,
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"author_name": "Ann",
"timestamp": "10/10/2022 08:12:46",
"content": "again, calculator",
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"timestamp": "10/10/2022 08:12:55",
"content": "if you aren't sure how to get it on your calculator, then read its manual",
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"id": 1029003622232625300,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:13:01",
"content": "I use a graphing calc; maybe i'll check",
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"id": 1029003663185821800,
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"timestamp": "10/10/2022 08:13:11",
"content": "or a dms button",
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"author_name": "斗地姿",
"timestamp": "10/10/2022 08:13:16",
"content": "Right okay",
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"author_name": "斗地姿",
"timestamp": "10/10/2022 08:13:18",
"content": "Thanks!",
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"id": 1029003732064673800,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:13:27",
"content": "wait",
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},
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"id": 1029003749173248000,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:13:31",
"content": "would wolfram be able to do it?",
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"id": 1029003758669144200,
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"author_name": "斗地姿",
"timestamp": "10/10/2022 08:13:34",
"content": "I'd hope so",
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"id": 1029003806819745800,
"author_id": 183668144404037630,
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"timestamp": "10/10/2022 08:13:45",
"content": "it should",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 08:13:46",
"content": "if you input the right commands, i belive so",
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"id": 1029003931063435300,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:14:15",
"content": ",w cos inverse (3(26+119))/(2*222) in dms",
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},
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"id": 1029003942534844500,
"author_id": 510789298321096700,
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"timestamp": "10/10/2022 08:14:17",
"content": null,
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"id": 1029004070058471400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 08:14:48",
"content": "wolfram actually hates degrees so...",
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},
{
"id": 1029004082335195100,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:14:51",
"content": "Do you happen to know the right command?",
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},
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"id": 1029004139776188400,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:15:04",
"content": "Ah yeah it always defaults to radians",
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"id": 1029004159552340000,
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"timestamp": "10/10/2022 08:15:09",
"content": "Welp",
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},
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"id": 1029005228005146600,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:19:24",
"content": "Ah i found it now",
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"timestamp": "10/10/2022 08:19:28",
"content": "Thanks",
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},
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"id": 1029005251581321300,
"author_id": 687632422212468900,
"author_name": "斗地姿",
"timestamp": "10/10/2022 08:19:29",
"content": ".close",
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},
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}
] |
help-9
|
d3d3d5a77364408697f4e9f47f1d6458
|
199,011 |
[
{
"id": 1029005506796339300,
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 08:20:30",
"content": "Available help channel!",
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},
{
"id": 1029006857861337200,
"author_id": 496005780680736800,
"author_name": "Lasssek",
"timestamp": "10/10/2022 08:25:52",
"content": "Why I making Simple mistakes on math in school but in home every other place I'm amazing at math?",
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},
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"content": "Pinned a message.",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/10/2022 08:29:20",
"content": "Probably the stress of time",
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"id": 1029008008769974300,
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"timestamp": "10/10/2022 08:30:27",
"content": "So what can i do about it?",
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},
{
"id": 1029008045029720200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/10/2022 08:30:35",
"content": "Not stress",
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"author_name": "dldh06",
"timestamp": "10/10/2022 08:34:23",
"content": "Fyi this isn't math related so you shouldn't use a help channel for things like this. #discussion or #discussion-2 is better for off topic things",
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"timestamp": "10/10/2022 08:38:41",
"content": "Ok sorry",
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"content": "@Lasssek Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
38b7fdbeda8d4998a409382d37481676
|
199,012 |
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"content": "Available help channel!",
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{
"id": 1029018239101046800,
"author_id": 257598516707196930,
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"content": "prove that every even number starting from 4 is a sum of 2 prime numbers",
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"id": 1029021762379325600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/10/2022 09:25:06",
"content": "yeah let me just prove goldbach in a discord channel, no big deal",
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},
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"id": 1029023021664571500,
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 09:30:06",
"content": "@*Mario Has your question been resolved?",
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"timestamp": "10/10/2022 09:45:07",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
e79e3e2ebc5e4799a891bc56319eeb9b
|
199,013 |
[
{
"id": 1029027051270832100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 09:46:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029027714813919200,
"author_id": 758989859561537500,
"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 09:48:45",
"content": "hey guys i need help in this logic equation i know how to start but i'm having problems in the end",
"attachments": [
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 09:48:46",
"content": "Pinned a message.",
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"author_id": 758989859561537500,
"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 09:49:34",
"content": "please somoene",
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},
{
"id": 1029028002778067100,
"author_id": 818000597180481500,
"author_name": "Rise",
"timestamp": "10/10/2022 09:49:54",
"content": "Use partial equation i think",
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},
{
"id": 1029028290645737500,
"author_id": 758989859561537500,
"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 09:51:02",
"content": "no i have do the \nrecurrence method",
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},
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"id": 1029028305384517800,
"author_id": 758989859561537500,
"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 09:51:06",
"content": ".",
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"id": 1029028364369018900,
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"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 09:51:20",
"content": "but the end is getting me mad",
"attachments": [],
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},
{
"id": 1029028576772751400,
"author_id": 758989859561537500,
"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 09:52:11",
"content": "Look",
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{
"id": 1029028934492368900,
"author_id": 818000597180481500,
"author_name": "Rise",
"timestamp": "10/10/2022 09:53:36",
"content": "What happened to the k on the right side",
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},
{
"id": 1029032353890308100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 10:07:11",
"content": "@! 𝐌 𝐞 𝐡 𝐝 𝐢 Has your question been resolved?",
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"id": 1029032466654187600,
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"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 10:07:38",
"content": "I replaced it with n",
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"id": 1029032546631155700,
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"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 10:07:57",
"content": "Becausei supposed that k equals n",
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},
{
"id": 1029033343049793700,
"author_id": 758989859561537500,
"author_name": "! 𝐌 𝐞 𝐡 𝐝 𝐢",
"timestamp": "10/10/2022 10:11:07",
"content": "I’m from morocco so i think that the way you study",
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},
{
"id": 1029034724741623800,
"author_id": 818000597180481500,
"author_name": "Rise",
"timestamp": "10/10/2022 10:16:36",
"content": "I got it",
"attachments": [],
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},
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"id": 1029034899711201300,
"author_id": 818000597180481500,
"author_name": "Rise",
"timestamp": "10/10/2022 10:17:18",
"content": "I use partial equation and look through the telescoping series",
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"timestamp": "10/10/2022 10:17:37",
"content": "Just make the partial equation first trust me@! 𝐌 𝐞 𝐡 𝐝 𝐢",
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 10:22:12",
"content": "Channel closed",
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}
] |
help-9
|
b7134a1fa9074d83a5c5ad67719e7c63
|
199,014 |
[
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"id": 1029036387523121200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 10:23:13",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1029037189188829200,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:26:24",
"content": "",
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"id": 1029037191978037200,
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"timestamp": "10/10/2022 10:26:25",
"content": "Pinned a message.",
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{
"id": 1029037287801106600,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:26:48",
"content": "I SINCERLY NEED HELP WITH THIS",
"attachments": [],
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},
{
"id": 1029037342972989400,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:27:01",
"content": "sorry caps",
"attachments": [],
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"reference": null
},
{
"id": 1029037402204946400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/10/2022 10:27:15",
"content": "what's troubling you here?",
"attachments": [],
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},
{
"id": 1029037419154128900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:27:19",
"content": "why hide your attempts from us",
"attachments": [],
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"reference": null
},
{
"id": 1029037501614145500,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:27:38",
"content": "the website aouto matically tells the answers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029037628789629000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:28:09",
"content": "we have no issue if the website tells you",
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},
{
"id": 1029037659642925000,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:28:16",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1029037799032234000,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:28:49",
"content": "the right answers were 48 12 216",
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},
{
"id": 1029038005903687800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/10/2022 10:29:39",
"content": ":thonk:",
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},
{
"id": 1029038026103455700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:29:44",
"content": "the answers are all wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029038041454608400,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:29:47",
"content": "my face right there",
"attachments": [],
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},
{
"id": 1029038118466224100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:30:06",
"content": "did you manage to get something else?",
"attachments": [],
"mentions": [],
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},
{
"id": 1029038168344895600,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:30:17",
"content": "i beg ur pardon the websites correcct answers were wrong?",
"attachments": [],
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},
{
"id": 1029038213844709500,
"author_id": 690565926860357600,
"author_name": "Jelle",
"timestamp": "10/10/2022 10:30:28",
"content": "I'm pretty sure the answer to b isn't even rational",
"attachments": [],
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},
{
"id": 1029038217602805900,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:30:29",
"content": "yeah",
"attachments": [],
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"id": 1029038286049648800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:30:46",
"content": "what values were you able to get?",
"attachments": [],
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},
{
"id": 1029038405960605800,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:31:14",
"content": "52 26",
"attachments": [],
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"reference": null
},
{
"id": 1029038442161651700,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:31:23",
"content": "and the last one i gave up",
"attachments": [],
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},
{
"id": 1029038653932056600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:32:13",
"content": "assuming the first value 52 was your area,\nthat's correct",
"attachments": [],
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},
{
"id": 1029038778423181300,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:32:43",
"content": "but then again the website said its wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029038779303985300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:32:43",
"content": "your side length however is incorrect",
"attachments": [],
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},
{
"id": 1029038829711142900,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:32:55",
"content": "wait how",
"attachments": [],
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},
{
"id": 1029038917686677500,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:33:16",
"content": "if its a square then to find a side from area u divide by 2",
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},
{
"id": 1029038943989153900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:33:22",
"content": "no",
"attachments": [],
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},
{
"id": 1029038963215835300,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:33:27",
"content": "?",
"attachments": [],
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},
{
"id": 1029039002965262500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:33:36",
"content": "no means no, wherever did you get that idea",
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},
{
"id": 1029039217965289600,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:34:28",
"content": "because to find an area of a square you multiply side * side",
"attachments": [],
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},
{
"id": 1029039234566336500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:34:32",
"content": "yes...",
"attachments": [],
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},
{
"id": 1029039288601563300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:34:45",
"content": "that's valid",
"attachments": [],
"mentions": [],
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},
{
"id": 1029039311896707200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:34:50",
"content": "> if its a square then to find a side from area u divide by 2\nis not",
"attachments": [],
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"reference": null
},
{
"id": 1029039374928728000,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:35:05",
"content": "oh wait i just realized",
"attachments": [],
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"reference": null
},
{
"id": 1029039381077573600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:35:07",
"content": "side * side is NOT the same as 2 * side",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029039550837837800,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:35:47",
"content": "i realized that thanks",
"attachments": [],
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},
{
"id": 1029040539397529600,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:39:43",
"content": "ay can i still get help tho",
"attachments": [],
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},
{
"id": 1029042187486372000,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:46:16",
"content": "@Helpers",
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},
{
"id": 1029042265898893300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:46:34",
"content": "$s^2 = Area \\\\\ns = ?$",
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},
{
"id": 1029042346811215900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/10/2022 10:46:54",
"content": "**ℝamonov**",
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{
"id": 1029042617612238800,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:47:58",
"content": "s?",
"attachments": [],
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},
{
"id": 1029042915755970600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:49:09",
"content": "well, yeh, s is trivally equal to s",
"attachments": [],
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},
{
"id": 1029042934022160400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:49:14",
"content": "but not what i want from you",
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},
{
"id": 1029043007388930000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:49:31",
"content": "given s^2 = area\nhow would you get `s` from Area",
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},
{
"id": 1029043329058484200,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:50:48",
"content": "by dividing Area/s",
"attachments": [],
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"reference": null
},
{
"id": 1029044210701189100,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:54:18",
"content": "I feel stupid",
"attachments": [],
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"reference": null
},
{
"id": 1029044383007383700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:54:59",
"content": "you don't want s on both sides of the equation",
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},
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"id": 1029044444588150800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:55:14",
"content": "instead what you want to do is take the square root of both sides",
"attachments": [],
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"id": 1029044548611096700,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:55:39",
"content": "of both?",
"attachments": [],
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},
{
"id": 1029044646577451100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:56:02",
"content": "of both sides of the equation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029044837233733600,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:56:47",
"content": "so the square root of s would be?",
"attachments": [],
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},
{
"id": 1029044994943766700,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:57:25",
"content": "s squared i guess now that i think about it",
"attachments": [],
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},
{
"id": 1029045425296121900,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:59:08",
"content": "or s/s",
"attachments": [],
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"reference": null
},
{
"id": 1029045444002717700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:59:12",
"content": "whut",
"attachments": [],
"mentions": [],
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},
{
"id": 1029045557546725400,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 10:59:39",
"content": "dude im just tryna pass a test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029045573266985100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 10:59:43",
"content": "starting with formula for area, \n$$s^2 = Area$$\nsquare rooting both sides of the equation\n$$\\sqrt{s^2} = \\sqrt{Area}$$",
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},
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"id": 1029045587376611300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/10/2022 10:59:46",
"content": "**ℝamonov**",
"attachments": [
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"id": 1029045643404116000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 11:00:00",
"content": "and since s>0, sqrt(s^2) = s",
"attachments": [],
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},
{
"id": 1029045792956219400,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:00:35",
"content": "one sec what is s^2?",
"attachments": [],
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},
{
"id": 1029045872308273300,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:00:54",
"content": "oh nvm",
"attachments": [],
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},
{
"id": 1029045890142458000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/10/2022 11:00:58",
"content": "side squared...",
"attachments": [],
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},
{
"id": 1029045962536132600,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:01:16",
"content": "but side squared equals side?",
"attachments": [],
"mentions": [],
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},
{
"id": 1029046973547942000,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:05:17",
"content": "im screwed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029048048665497700,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "10/10/2022 11:09:33",
"content": "only when side is 0 or 1 \n0X0 = 0\n1X1 =1 \nbut not in any other case \n2X2= 4 which is not 2",
"attachments": [],
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],
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},
{
"id": 1029048334054338700,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:10:41",
"content": "yeah but he said so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029048410667495400,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:10:59",
"content": "s * s = s",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029048781594951800,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:12:28",
"content": "Again NONE of this helps with the very first pic i sent",
"attachments": [],
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"reference": null
},
{
"id": 1029049577032126600,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:15:37",
"content": "im screwed this exam is the end of me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029049698507567100,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/10/2022 11:16:06",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029049701296771200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 11:16:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
fdd8f2286ea04f6384dea5551753162d
|
199,015 |
[
{
"id": 962228525677572200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 01:52:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962230649606004700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:01:04",
"content": "Can somebody please help me find the inverse of these functions",
"attachments": [
{
"id": 962230648926511100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/962230648926511115/unknown.png",
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}
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"id": 962230652139352000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 02:01:04",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 962230649606004700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 962230805181137000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:01:41",
"content": "My book never taught how to, \nI tried swapping x with y",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962230844133605500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:01:50",
"content": "but didnt work, just dont know what to do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962231328458309600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:03:46",
"content": "Actually o",
"attachments": [],
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},
{
"id": 962231332853928000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:03:47",
"content": "no",
"attachments": [],
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"reference": null
},
{
"id": 962231347534004200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:03:50",
"content": "my answer is correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962231391288963100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:04:01",
"content": "but I dont know how to show my working",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962232622539501600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:08:54",
"content": "Question 2.\n```\nWhich one is correct\nx^2 = y\n\na) +- x = root(y)\nb) x = +-root(y)\nc) +- x = +- root(y)\n\n\nor all are correct?```",
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},
{
"id": 962232744304337000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:09:23",
"content": "pls help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962232889116864500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:09:58",
"content": "in short, can i send +- sign from lhs to rhs?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962235375395409900,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:19:50",
"content": "i think only a and b are correct",
"attachments": [],
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},
{
"id": 962235388372611100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:19:54",
"content": "When i try using the same thing for other questions then it doesnt work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962235439060754600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:20:06",
"content": "oh, so i can transfer +- from lhs to rhs?",
"attachments": [],
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{
"id": 962235676097654800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:21:02",
"content": "even if not that i wanna know, which side receives the +- sign\n\n\nx^2 side\nor the y side",
"attachments": [],
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},
{
"id": 962235716283301900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:21:12",
"content": "bump",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962236679681359900,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:25:01",
"content": "yes, you can, but if you have for example +- x = +- root(y), that is just x = root(y), i think",
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},
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"id": 962239491999957100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 02:36:12",
"content": "@KIRAI Has your question been resolved?",
"attachments": [],
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{
"id": 962239987485646800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:38:10",
"content": "i got it",
"attachments": [],
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"name": "Amarinya",
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}
],
"reference": null
},
{
"id": 962240007446356100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:38:15",
"content": "I wanna ask",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962240010831167500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:38:16",
"content": "is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962240076287443000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:38:31",
"content": "`f^-1(x) = x`\nAlways?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962240178401980500,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:38:56",
"content": "you mean $f^{-1}(f(x)) = x$ ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962240187491024900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/09/2022 02:38:58",
"content": "**Taiga**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/962240187549753364/519519479546511381.png",
"fileName": "519519479546511381.png",
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},
{
"id": 962240210844942300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:39:03",
"content": "no",
"attachments": [],
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"reference": null
},
{
"id": 962240299118248100,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:39:24",
"content": "then no, it is not true always",
"attachments": [],
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},
{
"id": 962240305887871000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:39:26",
"content": "$f^{-1}(x) = x$",
"attachments": [],
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"reference": null
},
{
"id": 962240316419752000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/09/2022 02:39:28",
"content": "**KIRAI**",
"attachments": [
{
"id": 962240316486856700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/962240316486856724/772851082065215538.png",
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},
{
"id": 962240331720556500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:39:32",
"content": "i mean this",
"attachments": [],
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"reference": null
},
{
"id": 962240345654042600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:39:35",
"content": "its not this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962240352390090800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:39:37",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962240570569404400,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:40:29",
"content": "it is not true always, no",
"attachments": [],
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},
{
"id": 962240575782928400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:40:30",
"content": "Lets see\n\nf inverse (x) = g(y)\ng(y) = x\ntherefore\nf inverse (x) = g(x)",
"attachments": [],
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},
{
"id": 962240750106595300,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:41:12",
"content": "there are some caveats in there",
"attachments": [],
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},
{
"id": 962240843153035300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:41:34",
"content": "its super weird",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962241185756364800,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:42:56",
"content": "if f^-1(x) -> g(y) is bijective and g(y) -> x is also bijective, then yes, f^-1(x) is x",
"attachments": [],
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},
{
"id": 962241432129781800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:43:55",
"content": "so its not always that?",
"attachments": [],
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},
{
"id": 962241484659253400,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:44:07",
"content": "depends on the problem you're having",
"attachments": [],
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},
{
"id": 962241516821151700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:44:15",
"content": "since inverse of f(x) will always",
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},
{
"id": 962241538484731900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:44:20",
"content": "be g(y)",
"attachments": [],
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},
{
"id": 962241690624753700,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:44:56",
"content": "yes, but do all values of inverse of f(x) correspond to an unique value to g(y) which also have all of its values correspond to an unique value to x?",
"attachments": [],
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},
{
"id": 962241749458239500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:45:10",
"content": "yes",
"attachments": [],
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},
{
"id": 962241761365860400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:45:13",
"content": "i mean",
"attachments": [],
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},
{
"id": 962241795897565200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:45:21",
"content": "if f(x) is bijective",
"attachments": [],
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"reference": null
},
{
"id": 962241827560374300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:45:29",
"content": "then f inverse will always be equal to x",
"attachments": [],
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},
{
"id": 962241833210101800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:45:30",
"content": "right",
"attachments": [],
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},
{
"id": 962241965867565000,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:46:02",
"content": "draco might explain it better than i do",
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},
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"id": 962242063167000600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:46:25",
"content": "you just need to say yes or no here we are almost done 💀",
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"id": 962242122000507000,
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"author_name": "Dracô",
"timestamp": "04/09/2022 02:46:39",
"content": "x² = y means y>0 for all x \nAnd since y is greater than 0 means y is positive and sqrt of a positive number is always positive \nBut we can't say anything about x\nx can be positive, can be negative\nThat's why |x| = sqrt(y) \n±x = sqrt(y)",
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"id": 962242186726998000,
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"author_name": "Dracô",
"timestamp": "04/09/2022 02:46:54",
"content": "Yes",
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"id": 962242330121863200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:47:29",
"content": "ohhhhhh",
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"id": 962242372614381600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:47:39",
"content": "some guy on yt did it opposite",
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},
{
"id": 962242438590779400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:47:54",
"content": "Normally square root is defined like that",
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"id": 962242461802070000,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:48:00",
"content": "My mathematicians",
"attachments": [],
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},
{
"id": 962242505703825400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:48:10",
"content": "Like sqrt(4) = 2 and not equal to ±2",
"attachments": [],
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},
{
"id": 962242534174752800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:48:17",
"content": "can i transfer += from rhs to lhs",
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},
{
"id": 962242598343413800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:48:33",
"content": "Yes you can transfer ± from LHS to RHS",
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"id": 962242620023783400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:48:38",
"content": "i see",
"attachments": [],
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},
{
"id": 962242649476190300,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:48:45",
"content": "But be careful with dealing with inequalities",
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},
{
"id": 962242662835052500,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:48:48",
"content": "The signs change",
"attachments": [],
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},
{
"id": 962242682594414700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:48:53",
"content": "im in 12",
"attachments": [],
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},
{
"id": 962242707776995300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:48:59",
"content": "i just need to get trhough ngl",
"attachments": [],
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},
{
"id": 962242822092767200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:49:26",
"content": "if i had teacher i would prefer mastering",
"attachments": [],
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},
{
"id": 962242869308035100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:49:37",
"content": "anyway ty",
"attachments": [],
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},
{
"id": 962242911502749700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:49:47",
"content": "i just wanna know how to find inverse of simple functions",
"attachments": [],
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},
{
"id": 962242967299584000,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:50:01",
"content": "Oh",
"attachments": [],
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},
{
"id": 962243093246115800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:50:31",
"content": "can you tell me pls",
"attachments": [],
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},
{
"id": 962243134383865900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:50:40",
"content": "Just tell me the steps",
"attachments": [],
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},
{
"id": 962243139492532200,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:50:42",
"content": "Like give me some examples of functions",
"attachments": [],
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},
{
"id": 962243154529091600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:50:45",
"content": "Oh",
"attachments": [],
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"reference": null
},
{
"id": 962243165274910800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:50:48",
"content": "Lemme check",
"attachments": [],
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},
{
"id": 962243272997208000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 02:51:13",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
ede27d0ab99140f2a98a5edb29e67e77
|
199,016 |
[
{
"id": 1029049958348881900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 11:17:08",
"content": "Available help channel!",
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},
{
"id": 1029053101497405600,
"author_id": 128996662038364160,
"author_name": "MKB",
"timestamp": "10/10/2022 11:29:38",
"content": "Hello anyone do discrete structure",
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},
{
"id": 1029053103984615600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 11:29:38",
"content": "Pinned a message.",
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"messageId": 1029053101497405600,
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 11:44:38",
"content": "@MKB Has your question been resolved?",
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"id": 1029059138392694800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/10/2022 11:53:37",
"content": "well that is very unspecific",
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},
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"id": 1029059153508966500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/10/2022 11:53:41",
"content": "ask an actual question",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 11:59:39",
"content": "Channel closed",
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}
] |
help-9
|
26f53124202f4b2089d628ba87883c49
|
199,017 |
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"id": 1029060785256808400,
"author_id": 128996662038364160,
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"timestamp": "10/10/2022 12:00:10",
"content": "Sorry",
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},
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 12:04:08",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1029062590275539000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 12:07:20",
"content": "Pinned a message.",
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help-9
|
73099eb547d34f2580f506883391b4be
|
199,018 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 12:14:09",
"content": "Available help channel!",
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},
{
"id": 1029064424515961000,
"author_id": 290163307766349800,
"author_name": "Digicat195",
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"timestamp": "10/10/2022 12:14:38",
"content": "Pinned a message.",
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"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "10/10/2022 12:14:51",
"content": "how can I do this limit?",
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"id": 1029064541134397600,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "10/10/2022 12:15:05",
"content": "I tried a variable substitution but didnt worked",
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"id": 1029067598970749000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "10/10/2022 12:27:14",
"content": "Do you have to prove it or just find it?",
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{
"id": 1029068307426451600,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "10/10/2022 12:30:03",
"content": "The question is",
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"id": 1029068333716357100,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "10/10/2022 12:30:09",
"content": "Calcule the limit, if exists",
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"id": 1029068503183016000,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "10/10/2022 12:30:50",
"content": "I know it exists (because wolfram told me xD) but need to get the result by hand",
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 12:45:50",
"content": "@Digicat195 Has your question been resolved?",
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"timestamp": "10/10/2022 13:16:17",
"content": "@Digicat195 Has your question been resolved?",
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"timestamp": "10/10/2022 13:19:14",
"content": "Channel closed",
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] |
help-9
|
a471f2c41e374d71b7dd7ae69b70ae5b
|
199,019 |
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"content": "$\\int_{1}^{\\infty}\\frac{7\\cos^2(x)}{3+x^2}dx$",
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"timestamp": "10/10/2022 13:32:24",
"content": "**AStarling627**",
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"content": "how do you solve",
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"content": "@AStarling627 Has your question been resolved?",
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help-9
|
f491a18fc44c45d485751a1d4105d56a
|
199,020 |
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"id": 1029102800627580900,
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"timestamp": "10/10/2022 14:47:07",
"content": "Basically i cant figure this out",
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{
"id": 1029102873121915000,
"author_id": 246951232256737280,
"author_name": "The",
"timestamp": "10/10/2022 14:47:24",
"content": "i feel like im on the right path with the W i constructed",
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{
"id": 1029102980743561300,
"author_id": 246951232256737280,
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"timestamp": "10/10/2022 14:47:50",
"content": "as i would prove that for all subsets of f(x) the pre image would be open",
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"id": 1029103092135887000,
"author_id": 246951232256737280,
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"timestamp": "10/10/2022 14:48:16",
"content": "but i cant figure how to show that f-1(W) is open in X",
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{
"id": 1029103162457591800,
"author_id": 246951232256737280,
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"timestamp": "10/10/2022 14:48:33",
"content": "idk if i have to use a property of partitions",
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{
"id": 1029103217457508400,
"author_id": 246951232256737280,
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"timestamp": "10/10/2022 14:48:46",
"content": "i thought of using the property as W is open in Y",
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{
"id": 1029103345480249500,
"author_id": 246951232256737280,
"author_name": "The",
"timestamp": "10/10/2022 14:49:17",
"content": "that it can be formed of a union of Wy of open sets contaning y in W",
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"id": 1029103493329457200,
"author_id": 246951232256737280,
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"timestamp": "10/10/2022 14:49:52",
"content": "but that would only work if I can guarantee that it is such each Wy is either in f(A) or in f(B)",
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"timestamp": "10/10/2022 14:51:00",
"content": "i also thought of saying W = U union V for some U,V in f(A) and f(B) but that is not guaranteed for all W",
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"id": 1029103807289901200,
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"timestamp": "10/10/2022 14:51:07",
"content": "so im a bit stumped",
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"timestamp": "10/10/2022 15:06:07",
"content": "@The Has your question been resolved?",
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"timestamp": "10/10/2022 15:42:31",
"content": "Channel closed",
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}
] |
help-9
|
890d21075268485e8489af8cde9f6f0a
|
199,021 |
[
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"id": 1029116995918119000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 15:43:31",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1029117604943642800,
"author_id": 1025157777951293600,
"author_name": "~~",
"timestamp": "10/10/2022 15:45:57",
"content": "HELPPPPP",
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},
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"id": 1029117610031337600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 15:45:58",
"content": "Pinned a message.",
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"id": 1029117634706411500,
"author_id": 1025157777951293600,
"author_name": "~~",
"timestamp": "10/10/2022 15:46:04",
"content": "WHAT",
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"id": 1029117687655313500,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/10/2022 15:46:16",
"content": "Post the question",
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},
{
"id": 1029117732366602200,
"author_id": 1025157777951293600,
"author_name": "~~",
"timestamp": "10/10/2022 15:46:27",
"content": "idont' need",
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"id": 1029117740394487800,
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"timestamp": "10/10/2022 15:46:29",
"content": "hek",
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"id": 1029117749504512100,
"author_id": 1025157777951293600,
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"timestamp": "10/10/2022 15:46:31",
"content": "help",
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"id": 1029117805146144800,
"author_id": 348696743388381200,
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"content": "Ok",
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"content": "Don't occupy channels then",
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"content": ".close",
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] |
help-9
|
7604b0771219401d9a4ac482da2f383a
|
199,022 |
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{
"id": 1029126642628575400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 16:21:51",
"content": "Available help channel!",
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"id": 1029127265629503500,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 16:24:20",
"content": "if i dont know a limit converges, can i treat it as a variable and solve for it in an equation to show that it converges?",
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"content": "probably not no",
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"content": "assuming it converges to show it converges would be circular",
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"timestamp": "10/10/2022 16:26:56",
"content": "well, the problem is that i have an equation like this",
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"timestamp": "10/10/2022 16:28:28",
"content": "$g'(x) = \\frac{f'(x) - f'(a)}{x-a} - \\frac{g(x) - g(a)}{x-a}$",
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"timestamp": "10/10/2022 16:28:31",
"content": "**Amarinya**",
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"timestamp": "10/10/2022 16:29:14",
"content": "so if i take the limit as x approaches a, i'll have g'(a) = f\"(a) - g'(a)",
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"content": "but idk if g' converges at a",
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"content": "well if u show the limit on the right as x goes to a exists, then ur done",
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"content": "why not on the left?",
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"content": "i mean, why only one side?",
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"content": "huh ur interested in the rhs expression",
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"content": "if you manage to utilise limit rules to get to something then yeah ur done",
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"timestamp": "10/10/2022 16:37:08",
"content": "hmmm feels a bit weird though",
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"timestamp": "10/10/2022 16:37:23",
"content": "is f''(a) = 0 by any chance",
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"content": "if not, gotta have a think",
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"timestamp": "10/10/2022 16:37:39",
"content": "all i know is that it exists",
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"timestamp": "10/10/2022 16:39:02",
"content": "if this helps, g(x) = [f(x)-f(a)]/(x-a) when x is not a and g(a) = f'(a)",
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"content": "if u give the full question it would help helpers (almost always is the case)",
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"timestamp": "10/10/2022 16:40:31",
"content": "right now, idk if there is more context to be had",
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"timestamp": "10/10/2022 16:41:30",
"content": "well, the rest is just that f is in C² and i gotta show that g is in C¹",
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"timestamp": "10/10/2022 16:42:42",
"content": "and i managed to get to that equation i showed you",
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"timestamp": "10/10/2022 16:43:03",
"content": "yh well uh",
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"timestamp": "10/10/2022 16:43:19",
"content": "isnt it missing limits ?",
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"timestamp": "10/10/2022 16:43:23",
"content": "for one thing",
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"timestamp": "10/10/2022 16:43:51",
"content": "but yeah i dont fully get where this comes from either way",
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"timestamp": "10/10/2022 16:43:57",
"content": "did you use the definition of derivative",
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"timestamp": "10/10/2022 16:45:51",
"content": "well, the definition of derivative is that if the limit as x approaches a of [f(x)-f(a)]/(x-a) exists then f'(a) is equal to that limit",
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"timestamp": "10/10/2022 16:46:03",
"content": "where does the equation you wrote come from",
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"timestamp": "10/10/2022 16:46:25",
"content": "i took the derivative of g(x) when x is not a",
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"timestamp": "10/10/2022 16:46:39",
"content": ",align g'(x) &= \\frac{g(x) - g(a)}{x - a}\\\\\n&= \\frac{\\frac{f(x)-f(a)}{x-a} - f'(a)}{x - a}\\\\\n&= \\frac{f(x)-f(a)}{(x-a)^2} - \\frac{f'(a)}{x - a}",
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"timestamp": "10/10/2022 16:46:43",
"content": "your working should run something like this",
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"timestamp": "10/10/2022 16:46:48",
"content": "with limits oops",
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"timestamp": "10/10/2022 16:47:10",
"content": ",align g'(x) &= \\lim_{x\\to a}\\frac{g(x) - g(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\frac{\\frac{f(x)-f(a)}{x-a} - f'(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\frac{f(x)-f(a)}{(x-a)^2} - \\frac{f'(a)}{x - a}",
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"content": "",
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"content": "right?",
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"timestamp": "10/10/2022 16:48:21",
"content": "i just kinda used the derivative of f/g being (f'g - fg')/(g²)",
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"timestamp": "10/10/2022 16:49:31",
"content": "urgh i feel somewhat confused myself sry",
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"timestamp": "10/10/2022 16:49:55",
"content": "idk about this at all though",
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"timestamp": "10/10/2022 16:51:11",
"content": "itd be helpful if you can repeat the entire question again",
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"timestamp": "10/10/2022 16:51:34",
"content": "so to differentiate g(x) = [f(x) - f(a)]/(x-a) it becomes g'(x) = {f'(x)(x-a) - [f(x) - f(a)]}/(x-a)²",
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"timestamp": "10/10/2022 16:51:58",
"content": "this is analysis right?",
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"timestamp": "10/10/2022 16:52:03",
"content": "yeah",
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"timestamp": "10/10/2022 16:52:12",
"content": "yeah, idk about just simply assuming the quotient rule applies here",
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"timestamp": "10/10/2022 16:52:17",
"content": "certainly not without justifying it",
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"timestamp": "10/10/2022 16:52:33",
"content": "for one thing, this certainly isn't true if x = a",
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"timestamp": "10/10/2022 16:52:38",
"content": "but x is not a",
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"timestamp": "10/10/2022 16:52:53",
"content": "so you just take the limit as x approaches a",
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"timestamp": "10/10/2022 16:52:54",
"content": "can you repeat the full question",
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"timestamp": "10/10/2022 16:53:00",
"content": "how is x not a.",
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"timestamp": "10/10/2022 16:53:02",
"content": "alright sorry",
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"timestamp": "10/10/2022 16:53:36",
"content": "because i differentiated the part of g when x is not a",
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"timestamp": "10/10/2022 16:53:50",
"content": "not making sense to me",
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"content": "if you assume x not a, then yes, that quotient rule formula looks fine",
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"timestamp": "10/10/2022 16:54:38",
"content": "then after that you take the limit as x approaches a",
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"timestamp": "10/10/2022 16:54:59",
"content": "hold on the bus is really shaky rn",
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"timestamp": "10/10/2022 16:55:01",
"content": "🙏 repeat the full question and i might be less confused",
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"timestamp": "10/10/2022 16:55:02",
"content": "ok",
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"timestamp": "10/10/2022 16:55:17",
"content": "#❓how-to-get-help",
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"timestamp": "10/10/2022 16:55:21",
"content": "dont invade",
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"timestamp": "10/10/2022 16:55:36",
"content": "no",
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"timestamp": "10/10/2022 16:55:39",
"content": "like just follow the rules",
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"timestamp": "10/10/2022 16:59:43",
"content": "Let $f: I \\to \\mathbb{R}$ be of class $C²$ in the interval $I$. Given $a \\in I$, define the function $g: I \\to \\mathbb{R}$ by putting $g(x) = \\frac{f(x) - f(a)}{x-a}$ if $x \\neq a$ and $g(a) = f'(a)$. Prove that $g$ is of class $C¹$.",
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"timestamp": "10/10/2022 16:59:47",
"content": "**Amarinya**",
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"timestamp": "10/10/2022 17:00:20",
"content": "ty",
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"content": "\"so to diffeerentiate g(x) = [f(x) - f(a)]/(x-a) it becomes g'(x) = {f'(x)(x-a) - [f(x) - f(a)]}/(x-a)²\"",
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"content": "i'm gonna try to think harder on this when i arrive at uni",
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"timestamp": "10/10/2022 17:00:52",
"content": "so yeah, g'(x) aint that when x = a",
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"timestamp": "10/10/2022 17:01:02",
"content": "not written like that at least",
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"timestamp": "10/10/2022 17:01:04",
"content": "really?",
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"timestamp": "10/10/2022 17:01:12",
"content": "well yeah because that expression is undefined for x = a",
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"timestamp": "10/10/2022 17:01:26",
"content": "aw damn",
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"timestamp": "10/10/2022 17:01:31",
"content": "if x not a, then sure because f is c2",
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"timestamp": "10/10/2022 17:02:04",
"content": "so to prove x is c1, you need to show it is continuously differentiable",
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"timestamp": "10/10/2022 17:02:12",
"content": "ie. g' exists and is continuous",
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"timestamp": "10/10/2022 17:02:13",
"content": "hmm",
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"timestamp": "10/10/2022 17:02:30",
"content": "So from what you've written, we have this is true for x not a",
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"timestamp": "10/10/2022 17:02:37",
"content": "and what remains is to think about x = a",
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"timestamp": "10/10/2022 17:02:43",
"content": "existence and continuity",
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"timestamp": "10/10/2022 17:02:44",
"content": "yeah i first want to find g'(a) and then show that it is continuous at that point",
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"timestamp": "10/10/2022 17:03:08",
"content": "oh crap, miswrote this",
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"content": "thats why i was so confused",
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"content": ",align g'(z) &= \\lim_{x\\to z}\\frac{g(x) - g(a)}{x - a}\\\\\n&= \\lim_{x\\to z}\\frac{\\frac{f(x)-f(a)}{x-a} - f'(a)}{x - a}\\\\\n&= \\lim_{x\\to z}\\frac{f(x)-f(a)}{(x-a)^2} - \\frac{f'(a)}{x - a}",
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"content": "ok, so just using the definition, we have this agreed?",
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"content": "mhm",
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"content": ",align g'(a) &= \\lim_{x\\to a}\\frac{g(x) - g(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\frac{\\frac{f(x)-f(a)}{x-a} - f'(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\frac{f(x)-f(a)}{(x-a)^2} - \\frac{f'(a)}{x - a}",
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"content": "z = a, and we have this",
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"content": "hmmm",
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"timestamp": "10/10/2022 17:04:23",
"content": "ah wait this is rubbish as well",
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"timestamp": "10/10/2022 17:04:25",
"content": "let me retype",
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"timestamp": "10/10/2022 17:04:37",
"content": "this is gonna be hard",
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"content": ",align g'(z) &= \\lim_{x\\to z}\\frac{g(x) - g(z)}{x - z}\\\\\ng'(a) &= \\lim_{x\\to a}\\frac{g(x) - g(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\frac{\\frac{f(x)-f(a)}{x-a} - f'(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\left(\\frac{f(x)-f(a)}{(x-a)^2} - \\frac{f'(a)}{x - a}\\right)",
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"timestamp": "10/10/2022 17:05:12",
"content": "mhmmm",
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"timestamp": "10/10/2022 17:05:25",
"content": "k think this is free of errors",
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"timestamp": "10/10/2022 17:06:06",
"content": "yh ok",
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"content": "i think you should group the f'(a) with the other term because if you take its limit alone it diverges",
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"timestamp": "10/10/2022 17:06:47",
"content": "its the limit of the entire thing",
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"timestamp": "10/10/2022 17:06:56",
"content": "i omitted brackets yh",
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"content": ",align &= \\lim_{x\\to a}\\left(\\frac{f'(a)}{(x-a)} - \\frac{f'(a)}{x - a}\\right)",
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"timestamp": "10/10/2022 17:07:57",
"content": "but then don't we get this???",
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"timestamp": "10/10/2022 17:08:08",
"content": "and we're done (oops, not planned)",
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"content": "oh right, we're not done, ive just shown its 0 (need to show continuous)",
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"timestamp": "10/10/2022 17:08:49",
"content": "i think there's a flaw with that",
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"timestamp": "10/10/2022 17:08:54",
"content": "is there yh?",
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"timestamp": "10/10/2022 17:10:41",
"content": "in the last step i took the limit inside the limit",
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"timestamp": "10/10/2022 17:10:46",
"content": "if you're taking the limit of f/g, you can take the limit of f divided by the limit of g like you just did, but the problem is that you forgot that you're subtracting another term in the limit so it's actually the limit of f/g - h and you cant do that anymore unless you do the limit of (f- gh)/g",
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"timestamp": "10/10/2022 17:10:47",
"content": "cant remember what rule, but think u can?",
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"timestamp": "10/10/2022 17:11:05",
"content": "i dont get where f/g comes in",
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"timestamp": "10/10/2022 17:11:16",
"content": "just random functions",
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"timestamp": "10/10/2022 17:11:30",
"content": "which step is invalid, you think?",
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"timestamp": "10/10/2022 17:11:32",
"content": "can replace f, g and h with a, b and c",
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"timestamp": "10/10/2022 17:12:35",
"content": "this",
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"timestamp": "10/10/2022 17:12:57",
"content": ",align g'(z) &= \\lim_{x\\to z}\\frac{g(x) - g(z)}{x - z}\\\\\ng'(a) &= \\lim_{x\\to a}\\frac{g(x) - g(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\frac{\\frac{f(x)-f(a)}{x-a} - f'(a)}{x - a}\\\\\n&= \\lim_{x\\to a}\\left(\\frac{f(x)-f(a)}{(x-a)^2} - \\frac{f'(a)}{x - a}\\right)\\\\\n&= \\lim_{x\\to a}\\left(\\frac{f(x)-f(a)}{x-a}\\frac{1}{x-a} - \\frac{f'(a)}{x - a}\\right)\\\\\n&= \\lim_{x\\to a}\\left(\\lim_{x\\to a}\\left(\\frac{f(x)-f(a)}{x-a}\\right)\\frac{1}{x-a} - \\frac{f'(a)}{x - a}\\right)\\\\\n&= \\lim_{x\\to a}\\left(\\frac{f'(a)}{x-a} - \\frac{f'(a)}{x - a}\\right)",
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},
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"id": 1029139519116681300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/10/2022 17:13:01",
"content": "",
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"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:13:04",
"content": "ok, so written explicitly, this is what i was thinking",
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},
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"id": 1029139578046648400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:13:15",
"content": "for the 2nd last step, is there not some rule that says u can do that (put the extra limit inside)?",
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},
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"id": 1029139673072816100,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:13:38",
"content": "why can you do that in the second last line?",
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"id": 1029139744652787700,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:13:55",
"content": "hmm",
"attachments": [],
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},
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"id": 1029139785832464500,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:14:05",
"content": "i think its true in general (under some conditions) that:",
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},
{
"id": 1029139833081311200,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:14:16",
"content": "this book never showed that",
"attachments": [],
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},
{
"id": 1029139851657891800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:14:21",
"content": ",,\\lim f(g(x)) = \\lim f(\\lim g(x))",
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},
{
"id": 1029139881693302800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/10/2022 17:14:28",
"content": "",
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"id": 1029139932905746400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:14:40",
"content": "but im going to have to think carefully about this (there are conditions)",
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},
{
"id": 1029140037939503200,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:15:05",
"content": "i cant quite remember what the name of the rule im trying to use is",
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},
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"id": 1029140161965072500,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:15:35",
"content": "yes but arent you then forgetting to apply the limit on the term subtracting at the end? what you did was lim(a + b) = lim(lim a + b) instead of lim(lim a + lim b)",
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},
{
"id": 1029140298472890500,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:16:07",
"content": "yes, but similar result should hold for function with multiple params",
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},
{
"id": 1029140313840824300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:16:11",
"content": "i cant quite put it in words",
"attachments": [],
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},
{
"id": 1029140457386680400,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:16:45",
"content": "i'm not really sure",
"attachments": [],
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},
{
"id": 1029140463954968600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:16:47",
"content": "(looking it up rn)",
"attachments": [],
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},
{
"id": 1029140596629196900,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:17:18",
"content": "if the book hasnt shown it, doesnt that mean it doesnt expect you to use it?",
"attachments": [],
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},
{
"id": 1029140679160500400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:17:38",
"content": "well ig not, what book is this",
"attachments": [],
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},
{
"id": 1029140743526289500,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:17:53",
"content": "idk what exactly they're aiming for though - maybe you're meant to do this entire Q from first principles?",
"attachments": [],
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},
{
"id": 1029140824237281300,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:18:13",
"content": "not really in english but. Analise Real Vol 1 by Elon Lages Lima",
"attachments": [],
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},
{
"id": 1029141183483613300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:19:38",
"content": "Well sry, wish I could help more, but can't think of it rn. You could try asking in #real-complex-analysis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029141221844725800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "10/10/2022 17:19:47",
"content": "maybe someone there would 'see' the way you're meant to approach this Q",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029141360483238000,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:20:20",
"content": "it's alright. i'll try to think more about it at uni and see if i come up with the solution",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029141472047538200,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:20:47",
"content": "take care shurii. thanks for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029141536639811600,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "10/10/2022 17:21:02",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029141539542274000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:21:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d1398200bc8c4eef96a2fe201b794d99
|
199,023 |
[
{
"id": 1029144925599715500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:34:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029145415678967800,
"author_id": 234969359301345280,
"author_name": "dayzKILLER",
"timestamp": "10/10/2022 17:36:27",
"content": "hii",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029145417637707900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:36:28",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1029145415678967800,
"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 1029145429323043000,
"author_id": 234969359301345280,
"author_name": "dayzKILLER",
"timestamp": "10/10/2022 17:36:30",
"content": "https://gyazo.com/9e595441ffc085d541e746a81c626b89",
"attachments": [],
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},
{
"id": 1029145551691857900,
"author_id": 234969359301345280,
"author_name": "dayzKILLER",
"timestamp": "10/10/2022 17:37:00",
"content": "why is it telling me that \n\nrange: [0,3] is wrong?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029145804604186600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "10/10/2022 17:38:00",
"content": "minus sign in front of square root",
"attachments": [],
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"reference": null
},
{
"id": 1029145854650613800,
"author_id": 234969359301345280,
"author_name": "dayzKILLER",
"timestamp": "10/10/2022 17:38:12",
"content": "oh haha",
"attachments": [],
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"reference": null
},
{
"id": 1029146015749636100,
"author_id": 234969359301345280,
"author_name": "dayzKILLER",
"timestamp": "10/10/2022 17:38:50",
"content": "ty",
"attachments": [],
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"reference": null
},
{
"id": 1029146055075451000,
"author_id": 234969359301345280,
"author_name": "dayzKILLER",
"timestamp": "10/10/2022 17:39:00",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1029146057763991700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:39:00",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
90f29882f6e34dad9b66b86e28fc08eb
|
199,024 |
[
{
"id": 1029147942663241900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:46:30",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1029148011516928000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:46:46",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1029148007008055300,
"channelId": 486844875632017400,
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}
},
{
"id": 1029151013149622300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:58:42",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4718f3460c214a28815b957363c54a45
|
199,025 |
[
{
"id": 1029151264728162400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 17:59:42",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1029151952690499600,
"author_id": 1011662999955722400,
"author_name": "whit",
"timestamp": "10/10/2022 18:02:26",
"content": "i need help with this :\n\nConstruct an isosceles triangle such that its perimeter is equal to 13 cm",
"attachments": [],
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},
{
"id": 1029151955278377100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 18:02:26",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1029152227635499000,
"author_id": 1011662999955722400,
"author_name": "whit",
"timestamp": "10/10/2022 18:03:31",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1029152509148790800,
"author_id": 1011662999955722400,
"author_name": "whit",
"timestamp": "10/10/2022 18:04:38",
"content": "pls respond fast i have skl tmr and i need to do my hww",
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"reference": null
},
{
"id": 1029152769225015400,
"author_id": 1011662999955722400,
"author_name": "whit",
"timestamp": "10/10/2022 18:05:40",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1029156545054908500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 18:20:41",
"content": "@whit Has your question been resolved?",
"attachments": [],
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{
"id": 1029156733827956900,
"author_id": 644064336838393900,
"author_name": "SakaBusser",
"timestamp": "10/10/2022 18:21:26",
"content": "do you know what iscocelels triangle is",
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},
{
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"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 18:50:46",
"content": "@whit Has your question been resolved?",
"attachments": [],
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{
"id": 1029171670390427800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 19:20:47",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d84207cff7074ed4bb714a3fa2c46663
|
199,026 |
[
{
"id": 962243284200202200,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:51:16",
"content": "2 right?",
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},
{
"id": 962243293658349600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:51:18",
"content": "Oof rip",
"attachments": [],
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"reference": null
},
{
"id": 962243295105400800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:51:19",
"content": ".reopen",
"attachments": [],
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"reference": null
},
{
"id": 962243299148714000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 02:51:20",
"content": "✅",
"attachments": [],
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"reference": null
},
{
"id": 962243353959874600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:51:33",
"content": "any one of em",
"attachments": [],
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}
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},
{
"id": 962243444036739100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:51:54",
"content": "f(x) = x² doesn't have an inverse can you tell me why?",
"attachments": [],
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}
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},
{
"id": 962243451922022400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:51:56",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/962230648926511115/unknown.png",
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},
{
"id": 962243494783615000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:52:06",
"content": "yeah root x is not rational",
"attachments": [],
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},
{
"id": 962243533232808000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:52:15",
"content": "i mean i have an idea",
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},
{
"id": 962243545861861400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:52:18",
"content": "that it wont be rational",
"attachments": [],
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},
{
"id": 962243558054690800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:52:21",
"content": "No no not like that",
"attachments": [],
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"reference": null
},
{
"id": 962243559329775600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:52:22",
"content": "but idk how to write it",
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"reference": null
},
{
"id": 962243575654019200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:52:26",
"content": "if its y or if its x",
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},
{
"id": 962243577558237200,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:52:26",
"content": "Check bijection",
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},
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"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/09/2022 02:53:28",
"content": "||is it because f: R -> R is injective but not surjective?||",
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},
{
"id": 962243860854095900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:53:34",
"content": "Hoow do i even represent it",
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},
{
"id": 962243934380241000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:53:51",
"content": "denote it",
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"timestamp": "04/09/2022 02:53:52",
"content": "i mean",
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"id": 962244036532531200,
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"author_name": "Dracô",
"timestamp": "04/09/2022 02:54:15",
"content": "Actually yes if it's f:R->R then it's not surjective \nNeither is injective \nThe reason is ±x will yield the same value of x² for y",
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"timestamp": "04/09/2022 02:54:59",
"content": "But yes if it's defined as f:R+U{O}->R+ \nThen we can talk lol",
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"timestamp": "04/09/2022 02:55:16",
"content": "Look to check if a function has an inverse or not",
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"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 02:55:26",
"content": "Check if its one-one and onto",
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"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:59:11",
"content": "for \ny = x^2\n\nfor x = -2 it will give y = 4, same as x = 2, got it",
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"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:59:33",
"content": "i got this one damn",
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"id": 962245382279135200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:59:36",
"content": "i was wrong i didnt even know",
"attachments": [],
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"id": 962245420875120800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:59:45",
"content": "thats why i hate to learn this by myself",
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"id": 962245435307733000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 02:59:49",
"content": "got no choice",
"attachments": [],
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"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:00:03",
"content": "There is a test you want to know",
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"id": 962245538328236000,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:00:13",
"content": "To check if a function is injective/one-one",
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"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:00:19",
"content": "ii know",
"attachments": [],
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"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:00:21",
"content": "i know that test",
"attachments": [],
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"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:00:39",
"content": "x1^2 = x2^2",
"attachments": [],
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"id": 962245650903347200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:00:40",
"content": "that right",
"attachments": [],
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"id": 962245793086050300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:01:14",
"content": "x1^2 != x2^2 \n\ntherefore x is not one to one",
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"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:01:25",
"content": "No no I meant horizontal line test \nWhich is another test",
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"id": 962245882177278000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:01:35",
"content": "i can ddo with this one",
"attachments": [],
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"id": 962245951072895100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:01:52",
"content": "I just wanna know how to find an inverse",
"attachments": [],
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"id": 962246126667460600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:02:34",
"content": "Hey wait",
"attachments": [],
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{
"id": 962246142928748500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:02:38",
"content": "i am confused here",
"attachments": [],
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"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:03:13",
"content": "When they ask me to find the inverse of the function\n\nAre they asking me to find\nf^-1(f(x))\n\nor\nf^-1(x)",
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"id": 962246318506516600,
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"author_name": "KIRAI",
"timestamp": "04/09/2022 03:03:20",
"content": "obviously the latter oof",
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"id": 962246383925092500,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:03:35",
"content": "We write y = f(x) right? \nJust simply write x = f(y) and your inverse is f(y) denoted by f^-1(x)",
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"id": 962246403424415700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:03:40",
"content": "Yes",
"attachments": [],
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"id": 962246440044855300,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:03:48",
"content": "Example y = 2x + 1",
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"author_name": "Dracô",
"timestamp": "04/09/2022 03:03:57",
"content": "y-1=2x",
"attachments": [],
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"id": 962246523461173400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:04:08",
"content": "x = (y-1) /2",
"attachments": [],
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"id": 962246661470580700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:04:41",
"content": "Thus x=f(y) = (y-1)/2\nThus f^-1(x) = (x-1)/2",
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"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:04:46",
"content": "Understood?",
"attachments": [],
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"id": 962246898025123800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:05:38",
"content": "i got this but",
"attachments": [],
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"id": 962246950692991000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:05:50",
"content": "why y-1 changes to x",
"attachments": [],
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},
{
"id": 962246967910608900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:05:54",
"content": "let me process this one min pls",
"attachments": [],
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"id": 962247065658875900,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:06:18",
"content": "It's because we expressing inverse",
"attachments": [],
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"id": 962247154171252700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:06:39",
"content": "The codomain becomes domain in case of inverse and the domain becomes codomain",
"attachments": [],
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"id": 962247280881180700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:07:09",
"content": "So just replace x with f^-1(x) and write replace every y with x",
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"id": 962247912421744600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:09:40",
"content": "this is gonna be a 2 mark question, fuck me",
"attachments": [],
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"id": 962247926929834000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:09:43",
"content": "gawd",
"attachments": [],
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"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:10:07",
"content": "this topic is used in other chapters i cant skip it",
"attachments": [],
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"id": 962248049906843600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:10:12",
"content": "alright let me process wait",
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"id": 962248102901841900,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:10:25",
"content": ":smugCatto:",
"attachments": [],
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{
"id": 962248185500291100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:10:45",
"content": "alright look it at like this",
"attachments": [],
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"author_name": "KIRAI",
"timestamp": "04/09/2022 03:12:41",
"content": "f(x) = 2x + 1\n\nWe need to find the inverse of this fxn\n\nLet f(x) = y and let f(y) = x\nATQ\ny = 2x + 1\n(y - 1)/2 = x\n\n(y - 1)/2 = f(y)",
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{
"id": 962248717304488000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:12:51",
"content": "I am getting stuck at this part",
"attachments": [],
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{
"id": 962248733167321100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:12:55",
"content": "where replacing comes",
"attachments": [],
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"id": 962248962637705200,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:13:50",
"content": "Yes",
"attachments": [],
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{
"id": 962248986922717200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:13:56",
"content": "so this one is right",
"attachments": [],
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{
"id": 962248991117045900,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:13:57",
"content": "Now just replace y with x",
"attachments": [],
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{
"id": 962249002278092800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:13:59",
"content": "Yes",
"attachments": [],
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},
{
"id": 962249005239242800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:14:00",
"content": "why",
"attachments": [],
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},
{
"id": 962249019302760600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:14:03",
"content": "It's right",
"attachments": [],
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"id": 962249086159962100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:14:19",
"content": "actually it was wrong at first i fixed it moments before you came lol",
"attachments": [],
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"id": 962249102421282800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:14:23",
"content": "but i dont know why to replace",
"attachments": [],
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"id": 962249117311066100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:14:27",
"content": "y with x",
"attachments": [],
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},
{
"id": 962249153742774300,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:14:35",
"content": "If you want to write f-1(x) the argument inside is x \nSo you just replace it with x",
"attachments": [],
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"author_name": "KIRAI",
"timestamp": "04/09/2022 03:14:46",
"content": "x = f(y) i replace x with f(y) got it but why replace lhs",
"attachments": [],
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"id": 962249273339162600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:15:04",
"content": "ohhhhh",
"attachments": [],
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{
"id": 962249426859085800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:15:41",
"content": "So the next step here is\n\n(x - 1)/2 = f^-1(x)",
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"id": 962249441920835600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:15:44",
"content": "its just that",
"attachments": [],
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"id": 962249450414280700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:15:46",
"content": "right",
"attachments": [],
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"id": 962249508241146000,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:16:00",
"content": "It's like \nwe get x=f(y) = (y-1)/2\nNow if I write f^-1(x) = (y-1)/2\nIt d\noesn't make any sense",
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{
"id": 962249513777651700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:16:01",
"content": "Lol",
"attachments": [],
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"id": 962249536263323800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:16:07",
"content": "Yes",
"attachments": [],
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"id": 962249555448045600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:16:11",
"content": "so you mean",
"attachments": [],
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{
"id": 962249624888938500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:16:28",
"content": "(y - 1)/2 = f(y) \n this one is not wrong as long as the thing inside is y",
"attachments": [],
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},
{
"id": 962249743067648000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:16:56",
"content": "when i change the inside content to x, then it should be represented in terms of x",
"attachments": [],
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{
"id": 962249763728801900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:17:01",
"content": "ohhh",
"attachments": [],
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},
{
"id": 962249777393848300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:17:04",
"content": "i got it",
"attachments": [],
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},
{
"id": 962249787124613100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:17:06",
"content": "thank you dude",
"attachments": [],
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},
{
"id": 962249817315229700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:17:14",
"content": "i will write it down otherwise im gonna forget ngl",
"attachments": [],
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},
{
"id": 962249862882160600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:17:25",
"content": "Yes",
"attachments": [],
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{
"id": 962250028045443100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:18:04",
"content": "OH yeah",
"attachments": [],
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},
{
"id": 962250073260060700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:18:15",
"content": "so before i just straight up try to find the inverse",
"attachments": [],
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{
"id": 962250114544570400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:18:25",
"content": "i need to verify the one to one and onto conditions",
"attachments": [],
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},
{
"id": 962250143653052400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:18:31",
"content": "i cant straight start solving to find the inverse right",
"attachments": [],
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"timestamp": "04/09/2022 03:19:00",
"content": "Yes",
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"timestamp": "04/09/2022 03:19:28",
"content": "Like example \nf(x) = sinx it won't have an inverse if you take the domain to be R",
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"content": "tysm dude youre the best @Dracô",
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"timestamp": "04/09/2022 03:27:04",
"content": ".close",
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"timestamp": "04/09/2022 03:27:05",
"content": "Channel closed",
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] |
help-9
|
f47029a8ec4c45dd8bae1dec98e148ae
|
199,027 |
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"timestamp": "10/10/2022 19:21:47",
"content": "Available help channel!",
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},
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"id": 1029172765699354800,
"author_id": 1010974369163530200,
"author_name": "Swittxy",
"timestamp": "10/10/2022 19:25:08",
"content": "What 8+10?",
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"id": 1029172767981052000,
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"author_id": 1025157777951293600,
"author_name": "~~",
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"content": "what",
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"id": 1029172890370838500,
"author_id": 1025157777951293600,
"author_name": "~~",
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"content": "18",
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"id": 1029173168700653600,
"author_id": 376139628811386900,
"author_name": "bmeoa",
"timestamp": "10/10/2022 19:26:44",
"content": "Try using a calculator",
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"timestamp": "10/10/2022 19:27:07",
"content": "i cant count",
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"timestamp": "10/10/2022 19:42:08",
"content": "@Swittxy Has your question been resolved?",
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"timestamp": "10/10/2022 19:42:25",
"content": "Channel closed",
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}
] |
help-9
|
884b1fe881b9439b9a7efac964104511
|
199,028 |
[
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"id": 1029179085911502800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/10/2022 19:50:15",
"content": "Available help channel!",
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},
{
"id": 1029180539778895900,
"author_id": 178932548053893120,
"author_name": "Cut",
"timestamp": "10/10/2022 19:56:01",
"content": "[-4,-2][-2,][0,2][3,4]",
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},
{
"id": 1029180541649563600,
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"content": "Pinned a message.",
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"timestamp": "10/10/2022 19:56:15",
"content": "Is this correct for where the function is differentiable?",
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{
"id": 1029180698030002200,
"author_id": 178932548053893120,
"author_name": "Cut",
"timestamp": "10/10/2022 19:56:39",
"content": "additionally I'm not sure how to find where g'(x) is continous",
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"id": 1029180717890015200,
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"timestamp": "10/10/2022 19:56:44",
"content": "for reference the 2nd graph is g(x)",
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"timestamp": "10/10/2022 20:11:44",
"content": "@Cut Has your question been resolved?",
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"timestamp": "10/10/2022 20:43:29",
"content": "@Cut Has your question been resolved?",
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"content": "@Cut Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
e6ee84fa062548568af7cc4fc063ab4f
|
199,029 |
[
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"content": "Available help channel!",
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"id": 1029230050261872600,
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"id": 1029230103500181600,
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"author_name": "DISS",
"timestamp": "10/10/2022 23:12:58",
"content": "im getting (3n - 5 /n)",
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"id": 1029230120751349800,
"author_id": 451551793474961400,
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"timestamp": "10/10/2022 23:13:02",
"content": "all over n",
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{
"id": 1029230153836011500,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/10/2022 23:13:10",
"content": "how is he getting with just 5/n",
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"id": 1029230381821595800,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/10/2022 23:14:05",
"content": "oh wait he multiplied to each term",
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"id": 1029230388301803600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/10/2022 23:14:06",
"content": "What is 3n • 1/n",
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"id": 1029230432992112600,
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"timestamp": "10/10/2022 23:14:17",
"content": "Yeah",
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"id": 1029230458275373000,
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"timestamp": "10/10/2022 23:14:23",
"content": "ty",
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"id": 1029230475664961700,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/10/2022 23:14:27",
"content": ":KEK:",
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"author_name": "Umbraleviathan",
"timestamp": "10/10/2022 23:15:00",
"content": ":trol:",
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"timestamp": "10/10/2022 23:29:27",
"content": "@DISS Has your question been resolved?",
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"timestamp": "10/10/2022 23:44:28",
"content": "Channel closed",
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help-9
|
e88918d15dd645a0a2bec52c2f30bfb3
|
199,030 |
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"content": "Available help channel!",
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"id": 1029238370594980000,
"author_id": 456244808596455400,
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"timestamp": "10/10/2022 23:45:49",
"content": "how do i use squeez theorm to solve this limit?",
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"id": 1029238662682132500,
"author_id": 142642217150971900,
"author_name": "lems",
"timestamp": "10/10/2022 23:46:59",
"content": "well",
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"id": 1029238714062356500,
"author_id": 142642217150971900,
"author_name": "lems",
"timestamp": "10/10/2022 23:47:11",
"content": "you can say for all f(x)",
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"id": 1029238742738800600,
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"author_name": "lems",
"timestamp": "10/10/2022 23:47:18",
"content": "it is either x^2 or 0",
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"id": 1029238786284081200,
"author_id": 142642217150971900,
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"timestamp": "10/10/2022 23:47:28",
"content": "so what is one function it is definitely always less than or equal to",
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"id": 1029241582253256700,
"author_id": 456244808596455400,
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"timestamp": "10/10/2022 23:58:35",
"content": "ye i see",
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"id": 1029241627010670700,
"author_id": 456244808596455400,
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"timestamp": "10/10/2022 23:58:46",
"content": "so since x^2 is >= 0",
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"id": 1029241670161682400,
"author_id": 456244808596455400,
"author_name": "ir6",
"timestamp": "10/10/2022 23:58:56",
"content": "then 0 <= f(x) <= x^2",
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"id": 1029241707805544400,
"author_id": 456244808596455400,
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"timestamp": "10/10/2022 23:59:05",
"content": "and when x-> 0",
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"id": 1029241751627644900,
"author_id": 456244808596455400,
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"timestamp": "10/10/2022 23:59:15",
"content": "0 <= f(0) <=0",
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"id": 1029241766718734300,
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"timestamp": "10/10/2022 23:59:19",
"content": "so it will be 0",
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"id": 1029241784930402300,
"author_id": 456244808596455400,
"author_name": "ir6",
"timestamp": "10/10/2022 23:59:23",
"content": "does that sound right?",
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"id": 1029241956808786000,
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"timestamp": "10/11/2022 00:00:04",
"content": "@lems",
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"id": 1029242012001648600,
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"timestamp": "10/11/2022 00:00:18",
"content": "perfect",
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"id": 1029243516502671400,
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"author_name": "ir6",
"timestamp": "10/11/2022 00:06:16",
"content": ".close",
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}
] |
help-9
|
af3b899a23d64418b0cc1aaa20966f6f
|
199,031 |
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},
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"id": 1029250399749808300,
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"timestamp": "10/11/2022 00:34:10",
"content": "How do ik what numbers to use as a sum",
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"content": "Brain",
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"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 00:48:51",
"content": "That's the best I can give",
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},
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 00:48:53",
"content": "You just know",
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"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 00:49:01",
"content": "You run your head through all possibilities",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 00:49:06",
"content": "Until it becomes second nature",
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"id": 1029254424440361000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 00:49:37",
"content": "The easiest way is this",
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"id": 1029254491222052900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 00:49:53",
"content": "$$ax + bx = 9x$$\n$$ab = 18$$",
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"id": 1029254504476065800,
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"author_name": "TeXit",
"timestamp": "10/11/2022 00:49:56",
"content": "**Umbraleviathan**",
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"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 00:50:06",
"content": "If you're a big fan of systems of equations, there",
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"timestamp": "10/11/2022 00:50:12",
"content": "But this should be thought of conceptually",
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"author_name": "BigDaddyMando",
"timestamp": "10/11/2022 00:50:56",
"content": "I mean you can write the whole thing as a sum you just need to find out where it'll be useful",
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"timestamp": "10/11/2022 00:54:58",
"content": "How does the top part turn into the bottom part",
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"id": 1029255904383750100,
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"author_name": "ScoobySnax",
"timestamp": "10/11/2022 00:55:30",
"content": "Wouldn’t I only multiply each side by 4?",
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"content": "Oh nvm",
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"timestamp": "10/11/2022 00:55:50",
"content": "Ik",
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},
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"timestamp": "10/11/2022 01:10:50",
"content": "@ScoobySnax Has your question been resolved?",
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"timestamp": "10/11/2022 01:11:13",
"content": "Channel closed",
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}
] |
help-9
|
dfd9192b7417489781dbe7ed9e593739
|
199,032 |
[
{
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"timestamp": "10/11/2022 02:16:38",
"content": "Available help channel!",
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"id": 1029277004899561500,
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"id": 1029277224068714500,
"author_id": 734334855592280200,
"author_name": "Alacris",
"timestamp": "10/11/2022 02:20:13",
"content": "Try to express the log_2(45/4) in terms of log_2(3) and log_2(5)",
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"id": 1029277635861295100,
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"timestamp": "10/11/2022 02:21:51",
"content": "wait so do I plug it in for x?",
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"timestamp": "10/11/2022 02:22:43",
"content": "After this step, you can substitute x and y, yes",
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"timestamp": "10/11/2022 02:29:14",
"content": "thx i got it",
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"timestamp": "10/11/2022 02:29:22",
"content": "2x+y-2",
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"author_name": "Ogre of Smokies",
"timestamp": "10/11/2022 02:29:26",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
eb0f4b4b5e06441b8ad8fd37c32335f3
|
199,033 |
[
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"content": "Available help channel!",
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"id": 1029282060646494200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/11/2022 02:39:26",
"content": "I though these meant the same thing",
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"content": "Pinned a message.",
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"id": 1029282139822362600,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/11/2022 02:39:45",
"content": "can somebody explain the difference?",
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"id": 1029282369523437600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/11/2022 02:40:40",
"content": "The difference is that in the first one you take the limit as h goes to 0",
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"id": 1029282416164098000,
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"author_name": "Mr. Gamer",
"timestamp": "10/11/2022 02:40:51",
"content": "In the second one you just leave the h there",
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"timestamp": "10/11/2022 02:40:55",
"content": "As a finite approximation",
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{
"id": 1029282464562159600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/11/2022 02:41:02",
"content": "$f(x+h) - f(x) \\approx f'(x) \\cdot h$",
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"id": 1029282473248567300,
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"timestamp": "10/11/2022 02:41:04",
"content": "**Ann**",
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"author_name": "bo luo",
"timestamp": "10/11/2022 02:41:10",
"content": "right, make sense, but what would I plug into h",
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"id": 1029282521432723500,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/11/2022 02:41:16",
"content": "what is consdiered small",
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"id": 1029282525199204400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/11/2022 02:41:17",
"content": "nothing",
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"id": 1029282536351875100,
"author_id": 183668144404037630,
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"timestamp": "10/11/2022 02:41:19",
"content": "you would keep it as h",
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"timestamp": "10/11/2022 02:41:34",
"content": "oh so the expression is in terms of h?",
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"id": 1029282617419366400,
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"timestamp": "10/11/2022 02:41:39",
"content": "yup",
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"content": "oops",
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"timestamp": "10/11/2022 02:41:43",
"content": "well thanks guys",
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"content": ".close",
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] |
help-9
|
215ad45cd5424a148e658c30546413e0
|
199,034 |
[
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"content": "Available help channel!",
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"id": 1029286753590333600,
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"author_id": 404431550177083400,
"author_name": "adimbo",
"timestamp": "10/11/2022 02:58:09",
"content": "how would you solve this?",
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"author_id": 518678845478666240,
"author_name": "Ogre of Smokies",
"timestamp": "10/11/2022 03:01:00",
"content": "first divide both sides by 2",
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"author_name": "notzeussz",
"timestamp": "10/11/2022 03:02:00",
"content": "Use logarithms.",
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"timestamp": "10/11/2022 03:03:17",
"content": "Ok I'll try that",
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"timestamp": "10/11/2022 03:03:18",
"content": "thanks",
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"timestamp": "10/11/2022 03:03:33",
"content": "after you divide then you will notice the e is alone",
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"timestamp": "10/11/2022 03:03:44",
"content": "if you dont know, ln(e) =1",
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"timestamp": "10/11/2022 03:04:04",
"content": "is it because e^x = e",
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"id": 1029288271785758700,
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"timestamp": "10/11/2022 03:04:07",
"content": "then x has to be 1",
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"timestamp": "10/11/2022 03:04:10",
"content": "yes",
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"timestamp": "10/11/2022 03:05:47",
"content": "you should get 2x-4=ln(10)",
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"timestamp": "10/11/2022 03:05:53",
"content": "after that its smooth sailing",
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"timestamp": "10/11/2022 03:06:08",
"content": "Thank you",
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"id": 1029288797722132500,
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"timestamp": "10/11/2022 03:06:12",
"content": ".close",
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] |
help-9
|
e9c147146f0a4638865a09c3b5fcc6e8
|
199,035 |
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"id": 1029290045980553300,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "10/11/2022 03:11:10",
"content": "Find the missing to make the equation correct",
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"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:11:42",
"content": "make the inside = 64",
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"content": "64 in sqr root",
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"id": 1029290263727841400,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:02",
"content": "6+8 = 14/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290275383812100,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:04",
"content": "= 7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290294870552700,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:09",
"content": "6-8 = -2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290308850171900,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:12",
"content": "-2/2 = -1",
"attachments": [],
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},
{
"id": 1029290314864791600,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:14",
"content": "make sense?",
"attachments": [],
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},
{
"id": 1029290335064559600,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "10/11/2022 03:12:19",
"content": "Yep ty",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290366597349400,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:26",
"content": "can u .close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290368723857400,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:27",
"content": "xD",
"attachments": [],
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},
{
"id": 1029290398268534800,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "10/11/2022 03:12:34",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290400562827300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 03:12:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ce39370aaf8f499895cc68307ac68845
|
199,036 |
[
{
"id": 1029290419563008000,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:39",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1029290419374260224/20221011_001042.jpg",
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"id": 1029290427217616900,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:41",
"content": ",rotate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290432108167200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/11/2022 03:12:42",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1029290432204636210/303485147012005889.png",
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},
{
"id": 1029290448562442200,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:46",
"content": ",how do u integrate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029290460226801700,
"author_id": 303485147012005900,
"author_name": "Blizardstorm",
"timestamp": "10/11/2022 03:12:49",
"content": "this nasty thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029292573992439800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 03:21:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029292671631622100,
"author_id": 659817948990406700,
"author_name": "midruin",
"timestamp": "10/11/2022 03:21:36",
"content": "I have no clue where to start on this",
"attachments": [
{
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"fileName": "unknown.png",
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},
{
"id": 1029292674248867800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 03:21:36",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1029292671631622100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1029292745296199700,
"author_id": 659817948990406700,
"author_name": "midruin",
"timestamp": "10/11/2022 03:21:53",
"content": "I get how she got the 3 equations based on the 3 times but after that i just dont get it",
"attachments": [],
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},
{
"id": 1029296521390342100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 03:36:54",
"content": "@midruin Has your question been resolved?",
"attachments": [],
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"id": 1029297407235723300,
"author_id": 659817948990406700,
"author_name": "midruin",
"timestamp": "10/11/2022 03:40:25",
"content": "!close",
"attachments": [],
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},
{
"id": 1029297423589314700,
"author_id": 659817948990406700,
"author_name": "midruin",
"timestamp": "10/11/2022 03:40:29",
"content": ".close",
"attachments": [],
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},
{
"id": 1029297426403700700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 03:40:29",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
aef060d766c447df910abaa58aefa410
|
199,037 |
[
{
"id": 962252548654366700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 03:28:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962254284005716000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:34:59",
"content": "can somebody help me do this part",
"attachments": [
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"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 03:34:59",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 962254284005716000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 962255792248074400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:40:58",
"content": "Hola we meet again lol",
"attachments": [],
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"name": "KIRAI",
"discriminator": "3406",
"nickname": "KIRAI",
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{
"id": 962255823864746000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:41:06",
"content": "lol",
"attachments": [],
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},
{
"id": 962255842151903200,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:41:10",
"content": "Ok so the domain is defined",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962255863584788500,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:41:15",
"content": "x≠0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962255893041385600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:41:22",
"content": "so?",
"attachments": [],
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},
{
"id": 962255910116401200,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:41:26",
"content": "It's one-one \nYou can check that?",
"attachments": [],
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},
{
"id": 962255958875197400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:41:38",
"content": "i dont need to check that but i can",
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},
{
"id": 962256020321738800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:41:53",
"content": "Well I checked it's coming one-one so ok haha",
"attachments": [],
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},
{
"id": 962256022288871400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:41:53",
"content": "or i cant perhaps",
"attachments": [],
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},
{
"id": 962256050281648100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:42:00",
"content": "you can",
"attachments": [],
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},
{
"id": 962256098188984300,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:42:11",
"content": "Just do \nf(x1)=f(x2)",
"attachments": [],
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},
{
"id": 962256120192331800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:42:16",
"content": "Do it here",
"attachments": [],
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},
{
"id": 962256207475777500,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:42:37",
"content": "You have to reach the conclusion that x1=x2",
"attachments": [],
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},
{
"id": 962256252237402100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:42:48",
"content": "If you can't reach means it's not one-one",
"attachments": [],
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},
{
"id": 962256293752631300,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:42:58",
"content": "We talk about the inverse after this",
"attachments": [],
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},
{
"id": 962256749686063100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:44:46",
"content": "it is one one tho i dont have the time for checking it but",
"attachments": [],
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"reference": null
},
{
"id": 962256760654164000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:44:49",
"content": "here",
"attachments": [],
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},
{
"id": 962256987402424300,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:45:43",
"content": "```\ny= (x+1)/x\nyx = x+1\nyx - x = 1\nx(y-1) = 1\nx = 1/(y-1)\nf(y) = 1/(y-1) since x ≠0 , thus y≠1\n```",
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},
{
"id": 962257107317588000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:46:12",
"content": "x + 1/x = y + 1/y\n\nx + 1 (y) = (y + 1) x\nxy + y = xy + x\ny = x\nhence",
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},
{
"id": 962257201341300700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:46:34",
"content": "Nice",
"attachments": [],
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},
{
"id": 962257219800408000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:46:39",
"content": "i know that much",
"attachments": [],
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"reference": null
},
{
"id": 962257223923400800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:46:40",
"content": "its just",
"attachments": [],
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},
{
"id": 962257234681790500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:46:42",
"content": "the new concepts",
"attachments": [],
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},
{
"id": 962257238704128000,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:46:43",
"content": "Btw inverse",
"attachments": [],
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},
{
"id": 962257288691847200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:46:55",
"content": "im homeschooled and the book itself is the worst you can imagine",
"attachments": [],
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},
{
"id": 962257546993868800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:47:57",
"content": "Listen you just have to isolate x \nAnd write the whole thing in terms of y\nIn simple words\ny = f(x) \nIsolate the x and write the whole stuff in terms of y\nthus it becomes x=f(y) \nThus you can get f^-1(x) like that",
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},
{
"id": 962257579218698400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:48:04",
"content": "RIP",
"attachments": [],
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},
{
"id": 962257607475740700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:48:11",
"content": ":sadcat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962257701604315100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:48:33",
"content": "But the way you proved one-one is correct",
"attachments": [],
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},
{
"id": 962257843220779000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:49:07",
"content": "because my book told me how to do it",
"attachments": [],
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},
{
"id": 962257867296079900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:49:13",
"content": "but it didnt tell me how to find inverse",
"attachments": [],
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},
{
"id": 962257873268797400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:49:14",
"content": "💀",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962257940230852700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:49:30",
"content": "i cant write it in y wait",
"attachments": [],
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},
{
"id": 962258008249860100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:49:47",
"content": "fuck",
"attachments": [],
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"discriminator": "5486",
"nickname": "Dracô",
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}
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},
{
"id": 962258021285781500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:49:50",
"content": "i always forget this",
"attachments": [],
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"reference": null
},
{
"id": 962258041133236200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:49:54",
"content": "i need to take common",
"attachments": [],
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},
{
"id": 962258266564472800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:50:48",
"content": "alright dude",
"attachments": [],
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},
{
"id": 962258320209625100,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:51:01",
"content": "thankns to you now my inverse part is crystal clear",
"attachments": [],
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},
{
"id": 962258320461299700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:51:01",
"content": "No problem",
"attachments": [],
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},
{
"id": 962258368465092600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:51:12",
"content": "Next time you won't forget \nWe learn by seeing others",
"attachments": [],
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},
{
"id": 962258370239291400,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:51:13",
"content": "and i also learned that i cant forget commoning out",
"attachments": [],
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},
{
"id": 962258386492227700,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:51:17",
"content": "yeah",
"attachments": [],
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},
{
"id": 962258396130734100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:51:19",
"content": "Then develop our own ways",
"attachments": [],
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},
{
"id": 962258407279165400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:51:22",
"content": ":sadcatthumbsup:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962258459406000100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:51:34",
"content": "Yes",
"attachments": [],
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"reference": null
},
{
"id": 962258486522155000,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:51:41",
"content": "i would be asking way more often here tbh you will find me frequently",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962258513135013900,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:51:47",
"content": "sincce exam very soon",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962258524954562600,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:51:50",
"content": "💀",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962258532936327200,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:51:52",
"content": "Np xD",
"attachments": [],
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},
{
"id": 962258556512526300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:51:57",
"content": "its alright tho",
"attachments": [],
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},
{
"id": 962258576355774500,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:52:02",
"content": "not everything is unclear to me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962258585776185300,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:52:04",
"content": "just the new concepts",
"attachments": [],
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},
{
"id": 962258597524430800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:52:07",
"content": "There are many people qualified more than me to answer \nSomeone will surely come to help you",
"attachments": [],
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"reference": null
},
{
"id": 962258624854519800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:52:14",
"content": "i hope",
"attachments": [],
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},
{
"id": 962258631271796700,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/09/2022 03:52:15",
"content": ":sadcatthumbsup:",
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},
{
"id": 962258661705674800,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:52:22",
"content": "anyway ty dude i really appreciate it",
"attachments": [],
"mentions": [],
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},
{
"id": 962258672820572200,
"author_id": 772851082065215500,
"author_name": "KIRAI",
"timestamp": "04/09/2022 03:52:25",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962258674305335300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 03:52:25",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b1f3378ba64642cea0776dfe3aeb480a
|
199,038 |
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"id": 1029298600443912200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 03:45:09",
"content": "Available help channel!",
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"id": 1029300078529220600,
"author_id": 411882877933060100,
"author_name": "Herels",
"timestamp": "10/11/2022 03:51:02",
"content": "Hi, I want to show that the vector space $\\ell^2 ({\\mathbb{N}})$ is an Hilbert space. \nI know we need to show that the Cauchy sequences of $\\ell^2 ({\\mathbb{N}})$ converge. \nFor any $x = (x_n)_{n\\in \\mathbb{N}} \\in \\ell^2(\\mathbb{N})$, we have $\\forall \\varepsilon > 0, \\exists n_0 \\in \\mathbb{N}, \\forall p,q>n_0, \\|x_p - x_q \\| \\leq \\varepsilon$",
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"timestamp": "10/11/2022 03:51:02",
"content": "Pinned a message.",
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"timestamp": "10/11/2022 03:52:22",
"content": "**Herels**",
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"timestamp": "10/11/2022 03:53:33",
"content": "I know that : \n$\\| x_p - x_q \\| = \\sum_{k=1}^{\\infty} |x_{p,k} - x_{q,k}|^2$",
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"timestamp": "10/11/2022 03:53:53",
"content": "**Herels**",
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"timestamp": "10/11/2022 03:55:21",
"content": "and that the sequence $(x_{n,k})$ converges since all the Cauchy sequences in $\\mathbb{K}$ converges",
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"timestamp": "10/11/2022 03:55:23",
"content": "**Herels**",
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"timestamp": "10/11/2022 03:55:46",
"content": "so the series is converging",
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"id": 1029301332689031200,
"author_id": 411882877933060100,
"author_name": "Herels",
"timestamp": "10/11/2022 03:56:01",
"content": "but I don't know how to finish",
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},
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"id": 1029303675623059600,
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"author_name": "Herels",
"timestamp": "10/11/2022 04:05:19",
"content": "@Helpers",
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},
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/11/2022 04:16:08",
"content": "missing a square on the LHS",
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"timestamp": "10/11/2022 04:16:51",
"content": "oh yea you right",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:17:17",
"content": "but",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/11/2022 04:17:46",
"content": "theres like two parts of this proof",
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"author_name": "Herels",
"timestamp": "10/11/2022 04:18:21",
"content": "are u sure ?",
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"author_name": "TeXit",
"timestamp": "10/11/2022 04:18:24",
"content": "",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:18:32",
"content": "so like the element wise limits",
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"timestamp": "10/11/2022 04:19:39",
"content": "snow is a god dont doubt pls",
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"timestamp": "10/11/2022 04:19:46",
"content": "lmao ok",
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"timestamp": "10/11/2022 04:19:51",
"content": ":devilish:",
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"id": 1029307718336528400,
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"author_name": "Herels",
"timestamp": "10/11/2022 04:21:23",
"content": "so I need to find the limits of x_{n,k} and proving that this limit is in L^2, right ?",
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"id": 1029307796744835100,
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:21:42",
"content": "i think you already said that they exist",
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"timestamp": "10/11/2022 04:21:46",
"content": "here",
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"timestamp": "10/11/2022 04:22:01",
"content": "yea",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:22:02",
"content": "because presumably your field K will be R or C which is complete",
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"timestamp": "10/11/2022 04:24:14",
"content": "Yea",
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"author_name": "Herels",
"timestamp": "10/11/2022 04:24:16",
"content": "thats what I said",
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"id": 1029308667885015000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/11/2022 04:25:10",
"content": "okay so",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:25:21",
"content": "first you need to demonstrate that y is in l^2",
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"timestamp": "10/11/2022 04:25:36",
"content": "otherwise theres no use for the x_ns to converge to y",
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"timestamp": "10/11/2022 04:27:06",
"content": "hmm but how should I do this",
"attachments": [],
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:27:52",
"content": "use the fact that each x_n is in l^2",
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"timestamp": "10/11/2022 04:28:06",
"content": "so something like",
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"content": "",
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"timestamp": "10/11/2022 04:29:23",
"content": "true",
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"author_name": "HellO",
"timestamp": "10/11/2022 04:29:27",
"content": ":catthumbsup:",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:30:04",
"content": "and then the fact that the sequence is cauchy means \\||x_p\\|| cannot be very far off from \\||x_n0||",
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"timestamp": "10/11/2022 04:30:14",
"content": "which can be made precise by the triangle inequality",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:30:30",
"content": "this will be able to give you an upper bound on \\||y||",
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"id": 1029310287326761000,
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"timestamp": "10/11/2022 04:31:36",
"content": "so \\||x_p - x_n0 + x_n0 - x_q \\|| and i use triangle inequality ?",
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"timestamp": "10/11/2022 04:31:51",
"content": "no not quite",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:32:03",
"content": "we want an upper bound on \\||x_p|| remember",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:32:09",
"content": "so its gonna look something like",
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"timestamp": "10/11/2022 04:33:03",
"content": "oh yea",
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"timestamp": "10/11/2022 04:33:04",
"content": "the first term is bounded by epsilon because cauchy",
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"timestamp": "10/11/2022 04:33:08",
"content": "the second term is constant",
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"id": 1029310753666236400,
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"timestamp": "10/11/2022 04:33:27",
"content": "so the upper bound is epsilon + \\||x_n0\\||",
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"id": 1029310772901326800,
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"timestamp": "10/11/2022 04:33:31",
"content": "yes",
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"id": 1029310809249153000,
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"timestamp": "10/11/2022 04:33:40",
"content": "then x_p converges to 0",
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"timestamp": "10/11/2022 04:33:45",
"content": "nope",
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"timestamp": "10/11/2022 04:33:50",
"content": "oh",
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"timestamp": "10/11/2022 04:33:56",
"content": "notice how this holds true for **every** p > n0",
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"timestamp": "10/11/2022 04:34:12",
"content": "in particular",
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"timestamp": "10/11/2022 04:35:17",
"content": "which means that if you take limits on the LHS as p -> infinity",
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"content": "using continuity",
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:35:27",
"content": "the x_p,k becomes y_k",
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"timestamp": "10/11/2022 04:35:53",
"content": "I dont understand, wdym by using continuity ?",
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"timestamp": "10/11/2022 04:36:13",
"content": "in general you cant just bring limits inside of an infinite sum",
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"timestamp": "10/11/2022 04:36:15",
"content": "like",
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"timestamp": "10/11/2022 04:36:35",
"content": "Oh this, thats right",
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"timestamp": "10/11/2022 04:36:38",
"content": "yeah",
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"content": "we need an argument of continuity",
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"timestamp": "10/11/2022 04:36:44",
"content": "yep",
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"timestamp": "10/11/2022 04:36:55",
"content": "and since the sum is converging",
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"timestamp": "10/11/2022 04:36:56",
"content": "we can permute",
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"timestamp": "10/11/2022 04:37:04",
"content": "we dont know the sum is converging",
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"timestamp": "10/11/2022 04:37:08",
"content": "this is the proof that it converges lol",
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"content": "lol",
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"timestamp": "10/11/2022 04:37:18",
"content": "like okay",
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"timestamp": "10/11/2022 04:37:19",
"content": "lets",
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"timestamp": "10/11/2022 04:37:21",
"content": "take it slow",
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"timestamp": "10/11/2022 04:37:24",
"content": "so",
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"timestamp": "10/11/2022 04:37:36",
"content": "we know this is true",
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"timestamp": "10/11/2022 04:37:48",
"content": "so its definitely still true if we chop of the sum to a finite number",
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"timestamp": "10/11/2022 04:38:16",
"content": "then because we have a finite sum",
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"timestamp": "10/11/2022 04:38:23",
"content": "we can take limits on the LHS and its all fine",
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"content": "so",
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"timestamp": "10/11/2022 04:38:53",
"content": "because by definition the y_ks are the limits of the x_p,ks",
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"timestamp": "10/11/2022 04:39:02",
"content": "so then",
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"content": "the LHS is a monotonic increasing sequence in N",
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"timestamp": "10/11/2022 04:39:13",
"content": "and its bounded by the RHS",
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"timestamp": "10/11/2022 04:39:15",
"content": "so it converges",
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"timestamp": "10/11/2022 04:39:29",
"content": "that makes sense now :worryok:",
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"id": 1029312298541666400,
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"timestamp": "10/11/2022 04:39:35",
"content": "yes",
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"content": ":catthumbsup:",
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"timestamp": "10/11/2022 04:39:37",
"content": "my turn",
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"content": "lol",
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"id": 1029312349645045800,
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"timestamp": "10/11/2022 04:39:47",
"content": "but we are not done tho right ?",
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"content": "aw",
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"id": 1029312498698047500,
"author_id": 118663865264242690,
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"timestamp": "10/11/2022 04:40:23",
"content": "we are not",
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},
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"id": 1029312501340450800,
"author_id": 118663865264242690,
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"timestamp": "10/11/2022 04:40:24",
"content": "but",
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"id": 1029312529400332400,
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:40:30",
"content": "the proof for the convergence of x_n to y is very similar",
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"id": 1029312793494687700,
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"timestamp": "10/11/2022 04:41:33",
"content": "x_n or x_k",
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"timestamp": "10/11/2022 04:42:02",
"content": "same thing ig",
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"content": "x_n",
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"id": 1029313039570305000,
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"author_name": "夢雪",
"timestamp": "10/11/2022 04:42:32",
"content": "double indices for the components of x_n",
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"timestamp": "10/11/2022 04:56:33",
"content": "@Herels Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
efb5bb16da2c4b73bb91b7f8d11845f0
|
199,039 |
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"timestamp": "10/11/2022 05:03:59",
"content": "Available help channel!",
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"id": 1029318541649907800,
"author_id": 348800725272363000,
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"content": "$$x=1,2,3,...,k. \\ \\ \\sum_{x=1}^{k}x^{2}c=1, \\ \\ c=?$$",
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"content": "**rudrigu**",
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"timestamp": "10/11/2022 05:06:01",
"content": "i know that the sum of $$x^{2}=\\frac{x(x+1)(2x+1)}{6}$$, but i dont know what to do from here",
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"content": "**rudrigu**",
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{
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "10/11/2022 05:06:23",
"content": "$c=\\frac{1}{\\sum_{x=1}^{k}x^{2}}$?",
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"content": "**layla💜**",
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"content": "i though of that, but the solution says $c=\\frac{2}{x(x-1)(2x+1)}$",
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"content": "**rudrigu**",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "10/11/2022 05:13:08",
"content": "this probably isn't the issue but it seems like you're mixing up k's and x's",
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"content": "oh, true",
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"timestamp": "10/11/2022 05:34:45",
"content": "anyway, I'm not sure why that's the solution",
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"timestamp": "10/11/2022 05:35:07",
"content": "it doesn't seem right to me",
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"timestamp": "10/11/2022 05:46:17",
"content": "Channel closed",
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}
] |
help-9
|
b088253ab20e4908bd1dc90a02c025dd
|
199,040 |
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"timestamp": "10/11/2022 06:08:19",
"content": "Pinned a message.",
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"timestamp": "10/11/2022 06:08:27",
"content": "hi anyone know how to do part b",
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"content": "do I find the gradient of the line perpendicular to y=x-5",
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"content": "then equate to the circle equation",
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"timestamp": "10/11/2022 06:11:15",
"content": "You could try the distance formula",
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"content": "oh but how",
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"content": "Let there be a point (h,k) on the line and (p,q) on the circle",
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"timestamp": "10/11/2022 06:12:17",
"content": "Apply the distance formula to them",
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"content": "Then you can use derivatives for minima",
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"content": "oh wait that seems very",
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"content": "won’t I have 4 variables",
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"content": "is there an easier way for this",
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"timestamp": "10/11/2022 06:23:42",
"content": "Those variables satisfy the equation for the line and circle",
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"content": "You can simplify using that",
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"content": "Not one I can remember currently",
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"timestamp": "10/11/2022 06:25:28",
"content": "ohh okay",
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"content": "@myname Has your question been resolved?",
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help-9
|
42c24bf3093d488782b50b3d57eb15e3
|
199,041 |
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"content": "Available help channel!",
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"id": 1029354278810292200,
"author_id": 647546408626421800,
"author_name": "Darkness,",
"timestamp": "10/11/2022 07:26:24",
"content": "Can someone help me find out what x is pls before I completely lose my mind and end in mental hospital",
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"timestamp": "10/11/2022 07:26:59",
"content": "@Darkness, have you solved rational equations like this before?",
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"content": "I did but it wasnt hard and shit like this",
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"content": "what about *linear* equations?",
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"id": 1029354875043192800,
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"content": "do you know how to solve linear equations?",
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"timestamp": "10/11/2022 07:42:27",
"content": "@Darkness, Has your question been resolved?",
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"timestamp": "10/11/2022 07:42:43",
"content": "Yes I know",
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"timestamp": "10/11/2022 07:42:51",
"content": ".",
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"id": 1029358477564452900,
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"timestamp": "10/11/2022 07:43:05",
"content": "ok, well in that case",
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"timestamp": "10/11/2022 07:43:15",
"content": "multiply both sides of your equation by (142+3x), and you will have yourself a _linear_ equation.",
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"timestamp": "10/11/2022 07:47:04",
"content": "Thanks I solved it",
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"timestamp": "10/11/2022 07:47:22",
"content": ".close",
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] |
help-9
|
3885602a2ae74c34a642251b25b149fd
|
199,042 |
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"id": 1029361314050605000,
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"timestamp": "10/11/2022 07:54:21",
"content": "given points A(8,6) and B(-7,9) determine the third point P(x-y) such that the slopes of AP and BP are 1/2 and -2/3 respectively. can someone help me to solve this plsss",
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"timestamp": "10/11/2022 07:59:41",
"content": "$\\frac{P_{y} - A_{y}}{P_{x} - A_{x}} = \\frac{1}{2}$",
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"timestamp": "10/11/2022 08:00:15",
"content": "**Kookiemon**",
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"content": "You are given A_x and A_y, you just need to solve for P_y and P_x.",
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"content": "how",
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"content": "Use the x and y values of the point A.",
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"timestamp": "10/11/2022 08:03:44",
"content": "(6-y)/8-x = 1/2",
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"content": "You will not get an specific value. You will end up with an equation.",
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"timestamp": "10/11/2022 08:04:03",
"content": "okii",
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"timestamp": "10/11/2022 08:04:13",
"content": "should i cross multiply?",
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"timestamp": "10/11/2022 08:04:18",
"content": "Yes.",
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"author_name": "Razel",
"timestamp": "10/11/2022 08:04:32",
"content": "12-2y=8-x",
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"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:05:00",
"content": "what should i do now",
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"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "10/11/2022 08:05:10",
"content": "Solve for **y**.",
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"author_name": "Kookiemon",
"timestamp": "10/11/2022 08:06:02",
"content": "You will get a linear equation, **y = mx + b**.",
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"timestamp": "10/11/2022 08:09:00",
"content": "Do the same for point B. Use those two equations in a System of Equations to solve for **x** and **y**.",
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"author_name": "Razel",
"timestamp": "10/11/2022 08:09:23",
"content": "is it y=(x/2)+2",
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"timestamp": "10/11/2022 08:09:33",
"content": "Yes.",
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"timestamp": "10/11/2022 08:09:54",
"content": "in here",
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"timestamp": "10/11/2022 08:10:08",
"content": "should i substitute the equation i got earlier",
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"timestamp": "10/11/2022 08:10:45",
"content": "You need to make a linear equation first before using substitution.",
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"timestamp": "10/11/2022 08:10:52",
"content": "oh oki",
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"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:10:59",
"content": "ill just do the same?",
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"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:11:01",
"content": "just like in a",
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"author_name": "Kookiemon",
"timestamp": "10/11/2022 08:11:03",
"content": "Yes.",
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"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:13:10",
"content": "27-3y=14+2x?",
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"id": 1029366064494157800,
"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:13:14",
"content": "is it righttt",
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"timestamp": "10/11/2022 08:13:37",
"content": "Yes.",
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"author_name": "Razel",
"timestamp": "10/11/2022 08:13:57",
"content": "which will i get",
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"timestamp": "10/11/2022 08:13:59",
"content": "x or y",
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"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "10/11/2022 08:14:24",
"content": "You solved for **y** in the first equation so it would make sense to substitute **y** into the second equation.",
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"timestamp": "10/11/2022 08:14:34",
"content": "oh okii",
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"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "10/11/2022 08:14:51",
"content": "This allows you to solve for **x**.",
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"timestamp": "10/11/2022 08:15:04",
"content": "Which you can then use in the first equation to solve for **y**.",
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"timestamp": "10/11/2022 08:15:35",
"content": "okii",
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},
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"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:17:49",
"content": "I GOT IT NOW",
"attachments": [],
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},
{
"id": 1029367231072698500,
"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:17:52",
"content": "THANK U SO MUCH",
"attachments": [],
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"reference": null
},
{
"id": 1029367243617865700,
"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "10/11/2022 08:17:55",
"content": "yw",
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},
{
"id": 1029367259262619600,
"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:17:59",
"content": "i can take care of itt",
"attachments": [],
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"reference": null
},
{
"id": 1029367266732675100,
"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:18:01",
"content": "TYY",
"attachments": [],
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"reference": null
},
{
"id": 1029367333799592100,
"author_id": 910069476232401000,
"author_name": "Razel",
"timestamp": "10/11/2022 08:18:17",
"content": ".close",
"attachments": [],
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},
{
"id": 1029367336534294500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 08:18:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
83a42fffd02d4b0dbc0e253a68123c07
|
199,043 |
[
{
"id": 1029367590973362300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 08:19:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029368306819412000,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:22:09",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1029368309164015700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 08:22:09",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1029368306819412000,
"channelId": 486844875632017400,
"guildId": null
}
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"id": 1029368505537146900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/11/2022 08:22:56",
"content": "!15m",
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},
{
"id": 1029368506866737200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 08:22:56",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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},
{
"id": 1029368577997938700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/11/2022 08:23:13",
"content": "And you never even posted a question or what you attempted",
"attachments": [],
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"reference": null
},
{
"id": 1029368601452486800,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:23:19",
"content": "wait",
"attachments": [],
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"reference": null
},
{
"id": 1029368862346584000,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:24:21",
"content": "What is the |5|? . pls i need it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029368867794985000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/11/2022 08:24:22",
"content": "While people are waiting, you should thoroughly read this, to understand how the server works. That's good to read",
"attachments": [],
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{
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},
{
"id": 1029368937667907600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/11/2022 08:24:39",
"content": "Do you know what the bars mean?",
"attachments": [],
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},
{
"id": 1029368942776561800,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:24:40",
"content": "wait how to use this btw",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029368968043049000,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:24:46",
"content": "nop",
"attachments": [],
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],
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},
{
"id": 1029368992181276800,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:24:52",
"content": "actually im bad at math",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029369089468158000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/11/2022 08:25:15",
"content": "Have you heard of absolute value?",
"attachments": [],
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},
{
"id": 1029369173727514800,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:25:35",
"content": "uh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029369218212319200,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:25:46",
"content": "yea but i dont understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029369235761287200,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:25:50",
"content": "the lesson",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029369291386126300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/11/2022 08:26:03",
"content": "https://youtube.com/watch?v=LnfhdtjcpVY",
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},
{
"id": 1029369332033130500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/11/2022 08:26:13",
"content": "YouTube is very useful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029369377516159000,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:26:24",
"content": "thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029370295238271000,
"author_id": 706038035875233800,
"author_name": "Akashi",
"timestamp": "10/11/2022 08:30:03",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1029370298451120100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 08:30:03",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
cd7eeac35a6f4667adede3f538ecea67
|
199,044 |
[
{
"id": 1029370833526849500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 08:32:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1029374310986555400,
"author_id": 1022397863940075500,
"author_name": "Quantmmchx",
"timestamp": "10/11/2022 08:46:00",
"content": "Did i form the equation wrong in a because I can’t find a real number for the x intercept",
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"content": "Pinned a message.",
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"timestamp": "10/11/2022 09:01:01",
"content": "@Quantmmchx Has your question been resolved?",
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},
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"timestamp": "10/11/2022 09:31:09",
"content": "@Quantmmchx Has your question been resolved?",
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"timestamp": "10/11/2022 10:01:09",
"content": "Channel closed",
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}
] |
help-9
|
96d8872147cf4e869c8ca68e5edd2de3
|
199,045 |
[
{
"id": 1029393476313428000,
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"timestamp": "10/11/2022 10:02:09",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1029396501069303900,
"author_id": 566352096283328500,
"author_name": "ScoobySnax",
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"content": "How do I solve this",
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},
{
"id": 1029397993973088400,
"author_id": 566352096283328500,
"author_name": "ScoobySnax",
"timestamp": "10/11/2022 10:20:07",
"content": "I get -2 < x < 3",
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},
{
"id": 1029398025560395900,
"author_id": 566352096283328500,
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"timestamp": "10/11/2022 10:20:14",
"content": "Is this right?",
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},
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"timestamp": "10/11/2022 10:28:32",
"content": ".close",
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},
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"timestamp": "10/11/2022 10:28:33",
"content": "Channel closed",
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}
] |
help-9
|
e2eba38dbbe3420fa2c04042a404542b
|
199,046 |
[
{
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"content": "Available help channel!",
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},
{
"id": 1029401099297374200,
"author_id": 112667686667898880,
"author_name": "Specy",
"timestamp": "10/11/2022 10:32:27",
"content": "can someone explain what was done here? i think it's one of the known mathematical serieses but i'm not sure",
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"content": "Pinned a message.",
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"content": "@Specy Has your question been resolved?",
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"content": "@Specy Has your question been resolved?",
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},
{
"id": 1029412668437708900,
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"content": "Channel closed",
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}
] |
help-9
|
18810b5d0d98463c81d7fcc505408eab
|
199,047 |
[
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"content": "Available help channel!",
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},
{
"id": 1029413061007786100,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:19:59",
"content": "when i try solve a equation with sin, does me moving it to",
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"timestamp": "10/11/2022 11:20:31",
"content": "6sin2x-1=-3, to, x=sin^-1((-3)/6)+1 work?",
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"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:20:52",
"content": "i know you need to change the sides over but i think im making a mistake",
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"content": "kk",
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"id": 1029413844101116000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:23:06",
"content": "sup",
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"timestamp": "10/11/2022 11:23:07",
"content": "wassupppp",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:23:09",
"content": "what’s",
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},
{
"id": 1029413863734652900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:23:10",
"content": "the mistake",
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},
{
"id": 1029413868075765800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:23:11",
"content": "hm",
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"id": 1029413880952275000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:23:14",
"content": "do u have like",
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},
{
"id": 1029413887054991500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:23:16",
"content": "a picture",
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"id": 1029413903320481900,
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"content": "of-",
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"id": 1029413948442816500,
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"id": 1029413953912197200,
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"timestamp": "10/11/2022 11:23:32",
"content": "like",
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"timestamp": "10/11/2022 11:23:35",
"content": "your attempt",
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"timestamp": "10/11/2022 11:23:38",
"content": "thus far",
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"timestamp": "10/11/2022 11:23:40",
"content": "i could take one sure",
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"content": "ayeee",
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"timestamp": "10/11/2022 11:23:45",
"content": "nice",
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"timestamp": "10/11/2022 11:23:50",
"content": "but its just two lines of now",
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"timestamp": "10/11/2022 11:23:54",
"content": "be ready to be dissapointed",
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"timestamp": "10/11/2022 11:24:02",
"content": "hmmmmm",
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"author_id": 1011662999955722400,
"author_name": "whit",
"timestamp": "10/11/2022 11:24:05",
"content": "anyone know how to Construct an isosceles triangle such that its perimeter is equal to 13 cm",
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"timestamp": "10/11/2022 11:24:33",
"content": "#❓how-to-get-help",
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"timestamp": "10/11/2022 11:26:22",
"content": "just the bottom area",
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"timestamp": "10/11/2022 11:26:48",
"content": "im not sure what ive done wrong",
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"author_name": "Deadinlavapool",
"timestamp": "10/11/2022 11:31:00",
"content": "Ok so the question doesn't have a bracket\nIt isnt 6sin(2x-1)\nIt is -1+6sin2x",
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"timestamp": "10/11/2022 11:32:47",
"content": "yeah your right",
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"timestamp": "10/11/2022 11:33:05",
"content": "but that wouldnt change the answer, would it?",
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"timestamp": "10/11/2022 11:33:19",
"content": "i mean in my case, as i moved it outside the ( )",
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"timestamp": "10/11/2022 11:33:19",
"content": "It would",
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"timestamp": "10/11/2022 11:33:39",
"content": "Now you would have to add 1 to both sides before dividing by 6",
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"timestamp": "10/11/2022 11:34:48",
"content": "yeah, so does that not cancel my, x-1=sin^-1((-3/6)+1",
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"timestamp": "10/11/2022 11:34:53",
"content": "ye",
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"timestamp": "10/11/2022 11:34:58",
"content": "don’t inverse sin it",
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"timestamp": "10/11/2022 11:35:05",
"content": "okay",
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"timestamp": "10/11/2022 11:35:10",
"content": "here is where",
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"timestamp": "10/11/2022 11:35:12",
"content": "ur astc",
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"timestamp": "10/11/2022 11:35:17",
"content": "comes in handy",
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"timestamp": "10/11/2022 11:35:25",
"content": "find ur basic angle using that eqn",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:35:42",
"content": "but as of now i dont have the right numbers?",
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"timestamp": "10/11/2022 11:35:56",
"content": "as of now ur working",
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"timestamp": "10/11/2022 11:35:57",
"content": "not rly right",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:36:00",
"content": "what u",
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{
"id": 1029417097916317800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:36:01",
"content": "wanna do",
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"timestamp": "10/11/2022 11:36:07",
"content": "iS",
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"timestamp": "10/11/2022 11:36:14",
"content": "isolate sin2x",
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"timestamp": "10/11/2022 11:36:28",
"content": "also uk how",
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"timestamp": "10/11/2022 11:36:31",
"content": "for the domain",
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"timestamp": "10/11/2022 11:36:32",
"content": "they said",
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"timestamp": "10/11/2022 11:36:40",
"content": "between 0 and 180",
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"id": 1029417267936645100,
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"timestamp": "10/11/2022 11:36:42",
"content": "inclusive",
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"id": 1029417274689454200,
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"timestamp": "10/11/2022 11:36:43",
"content": "of both",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:36:55",
"content": "yeah, so my angles cant be above 180 right",
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"timestamp": "10/11/2022 11:36:58",
"content": "ye",
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:37:00",
"content": "but that applies x",
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"timestamp": "10/11/2022 11:37:02",
"content": "what we have",
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"timestamp": "10/11/2022 11:37:03",
"content": "here",
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"id": 1029417365450014700,
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"timestamp": "10/11/2022 11:37:05",
"content": "is 2x",
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"id": 1029417371519156200,
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"timestamp": "10/11/2022 11:37:07",
"content": "so",
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"id": 1029417385310044300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:37:10",
"content": "we need to change",
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{
"id": 1029417393061109800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:37:12",
"content": "accordingly",
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:37:14",
"content": "so we don’t",
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"timestamp": "10/11/2022 11:37:17",
"content": "miss on answers",
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"timestamp": "10/11/2022 11:37:28",
"content": "x=180, so 2x=360 and that means-",
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"timestamp": "10/11/2022 11:37:32",
"content": "mhm",
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{
"id": 1029417501286744000,
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"timestamp": "10/11/2022 11:37:37",
"content": "between 0 and 360",
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"id": 1029417509759221800,
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"timestamp": "10/11/2022 11:37:39",
"content": "inclusive",
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{
"id": 1029417550779531300,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:37:49",
"content": "that’s for 2x",
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"id": 1029417565136629800,
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"timestamp": "10/11/2022 11:37:53",
"content": "now",
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{
"id": 1029417571969159300,
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"timestamp": "10/11/2022 11:37:54",
"content": "have u",
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"id": 1029417587806830600,
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"timestamp": "10/11/2022 11:37:58",
"content": "isolated sin2x",
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{
"id": 1029417659428769900,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:38:15",
"content": "so my, sin2x= (-1/3) +1",
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"timestamp": "10/11/2022 11:38:17",
"content": "ye",
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:38:27",
"content": "Nahh",
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{
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:38:30",
"content": "you can’t divide first",
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"timestamp": "10/11/2022 11:38:35",
"content": "..",
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:38:37",
"content": "needa move all the plus and minus first",
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"timestamp": "10/11/2022 11:38:48",
"content": "then you can move the times and divide",
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"timestamp": "10/11/2022 11:39:01",
"content": "okay okay",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:39:16",
"content": "so its instead",
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"timestamp": "10/11/2022 11:39:32",
"content": "sin2x = (-1/3)",
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"id": 1029417995681927200,
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"timestamp": "10/11/2022 11:39:35",
"content": "perfect",
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},
{
"id": 1029418004376719500,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:39:37",
"content": "amazing",
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{
"id": 1029418009208574100,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:39:39",
"content": "aye",
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"id": 1029418029613850600,
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"timestamp": "10/11/2022 11:39:43",
"content": "yeye",
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"id": 1029418034890285000,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:39:45",
"content": "now",
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{
"id": 1029418050254033000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:39:48",
"content": "u find basic angle",
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{
"id": 1029418074098651100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:39:54",
"content": "heard of it",
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},
{
"id": 1029418109796368400,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:40:03",
"content": "uhh",
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{
"id": 1029418117748752400,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:40:04",
"content": "maybe",
"attachments": [],
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},
{
"id": 1029418139454292000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:40:10",
"content": "alr",
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"timestamp": "10/11/2022 11:40:11",
"content": "alr",
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"content": "basically",
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"content": "can’t be negative",
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"content": "so to find it",
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"content": "we inverse sin POSITIVE 1/4",
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"content": "1/3*",
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"content": "not negative",
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"content": "cuz",
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"content": "basic angle can’t be negative",
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"content": "right, so i do 2x= sin^-1(1/3)",
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"content": "nah not 2x",
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"content": "usually",
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"content": "basic angle",
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"content": "is referred to as alpha",
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"content": "the Greek symbol",
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"timestamp": "10/11/2022 11:41:41",
"content": "thing",
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"content": "usually",
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"content": "ohh yeah",
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"content": "α",
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"content": "okay so for now i put alpha",
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"content": "mhm",
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"timestamp": "10/11/2022 11:42:02",
"content": "or if u want",
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"timestamp": "10/11/2022 11:42:04",
"content": "can just say",
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"timestamp": "10/11/2022 11:42:05",
"content": "(how did you get that symb",
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"timestamp": "10/11/2022 11:42:13",
"content": "Basic angle = sin-1(1/3)",
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"timestamp": "10/11/2022 11:42:17",
"content": "if u don’t like green symbols",
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"timestamp": "10/11/2022 11:42:20",
"content": "greek*",
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"content": "heh",
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"timestamp": "10/11/2022 11:42:29",
"content": "keyboard",
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"timestamp": "10/11/2022 11:42:30",
"content": "life hacks",
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"timestamp": "10/11/2022 11:42:32",
"content": "let’s go",
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"timestamp": "10/11/2022 11:42:39",
"content": "scam",
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"timestamp": "10/11/2022 11:42:44",
"content": ";))",
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"timestamp": "10/11/2022 11:43:00",
"content": "alright, and now",
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"timestamp": "10/11/2022 11:43:03",
"content": "kk",
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"id": 1029418872736063600,
"author_id": 1015619946451046400,
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"timestamp": "10/11/2022 11:43:04",
"content": "what",
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"timestamp": "10/11/2022 11:43:06",
"content": "did u get",
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"timestamp": "10/11/2022 11:43:08",
"content": "for alpha",
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{
"id": 1029418905564872700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:43:12",
"content": "or basic angle",
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"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:43:15",
"content": "do i put it into the cal?",
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"timestamp": "10/11/2022 11:43:20",
"content": "ye",
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"timestamp": "10/11/2022 11:43:27",
"content": "make sure it’s in degree mode ah",
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"timestamp": "10/11/2022 11:43:33",
"content": "some students forget",
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"timestamp": "10/11/2022 11:43:33",
"content": "19.47",
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"timestamp": "10/11/2022 11:43:34",
"content": "then gg",
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"timestamp": "10/11/2022 11:43:38",
"content": "k seems reasonable",
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"timestamp": "10/11/2022 11:43:39",
"content": "now",
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"id": 1029419030680969300,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:43:42",
"content": "this",
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"id": 1029419034736857100,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:43:43",
"content": "is where",
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"id": 1029419042232086500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:43:45",
"content": "ur beautiful",
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"id": 1029419047990870100,
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"timestamp": "10/11/2022 11:43:46",
"content": "astc",
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"id": 1029419054513000400,
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"timestamp": "10/11/2022 11:43:48",
"content": "comes in",
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"timestamp": "10/11/2022 11:43:51",
"content": "(how the hell would you kno-)",
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"timestamp": "10/11/2022 11:43:53",
"content": "okay",
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"timestamp": "10/11/2022 11:43:56",
"content": ";))",
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"timestamp": "10/11/2022 11:43:57",
"content": "k",
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"timestamp": "10/11/2022 11:43:59",
"content": "remember",
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:44:09",
"content": "what sin2x",
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"timestamp": "10/11/2022 11:44:11",
"content": "originally was",
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"timestamp": "10/11/2022 11:44:12",
"content": "equal to",
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"timestamp": "10/11/2022 11:44:19",
"content": "-1/3",
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"id": 1029419192652398600,
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"timestamp": "10/11/2022 11:44:21",
"content": "mhm",
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{
"id": 1029419198616698900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:44:22",
"content": "it’s negative",
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"id": 1029419204232892400,
"author_id": 1015619946451046400,
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"timestamp": "10/11/2022 11:44:23",
"content": "what quad",
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"timestamp": "10/11/2022 11:44:25",
"content": "is sin",
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"timestamp": "10/11/2022 11:44:26",
"content": "negative in",
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"id": 1029419236772298900,
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"timestamp": "10/11/2022 11:44:31",
"content": "so i do the negative in",
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"timestamp": "10/11/2022 11:44:39",
"content": "ye negative quads",
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"timestamp": "10/11/2022 11:44:42",
"content": "which one",
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"timestamp": "10/11/2022 11:44:44",
"content": "-19.47 degrees in the cast?",
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{
"id": 1029419317206470800,
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"timestamp": "10/11/2022 11:44:50",
"content": "not -19.47",
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"id": 1029419342468759700,
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"timestamp": "10/11/2022 11:44:56",
"content": "ur 19.47 always remains positive",
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"timestamp": "10/11/2022 11:45:02",
"content": "because",
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{
"id": 1029419372130873300,
"author_id": 1015619946451046400,
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"timestamp": "10/11/2022 11:45:04",
"content": "basic angle",
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},
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"id": 1029419380792107100,
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"timestamp": "10/11/2022 11:45:06",
"content": "can never",
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"id": 1029419386819322000,
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"timestamp": "10/11/2022 11:45:07",
"content": "be negative",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:45:17",
"content": "but i dont know what angle -1/3 is",
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"timestamp": "10/11/2022 11:45:22",
"content": "okay",
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"id": 1029419463176630400,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:45:25",
"content": "just follow me",
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"timestamp": "10/11/2022 11:45:27",
"content": "follow my light",
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},
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"author_id": 1015619946451046400,
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"timestamp": "10/11/2022 11:45:31",
"content": "my guidance",
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"timestamp": "10/11/2022 11:45:33",
"content": "ok messah",
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"content": "it’s sweet",
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"timestamp": "10/11/2022 11:45:37",
"content": "and butter",
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"timestamp": "10/11/2022 11:45:38",
"content": "okay",
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"timestamp": "10/11/2022 11:45:40",
"content": "bitter*",
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"timestamp": "10/11/2022 11:45:42",
"content": "so",
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"timestamp": "10/11/2022 11:45:46",
"content": "we know basic angle",
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"timestamp": "10/11/2022 11:45:50",
"content": "yeah",
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"timestamp": "10/11/2022 11:45:51",
"content": "19.47 approx",
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"timestamp": "10/11/2022 11:45:52",
"content": "now",
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"id": 1029419584962429000,
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"timestamp": "10/11/2022 11:45:54",
"content": "we also know",
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"id": 1029419604222685200,
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"timestamp": "10/11/2022 11:45:59",
"content": "sin is negative",
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{
"id": 1029419623575195600,
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"timestamp": "10/11/2022 11:46:03",
"content": "aye",
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"id": 1029419631464689700,
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"timestamp": "10/11/2022 11:46:05",
"content": "so",
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"id": 1029419637559009300,
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"timestamp": "10/11/2022 11:46:07",
"content": "do we ?",
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"id": 1029419639467409400,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:46:07",
"content": "what quadrant",
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{
"id": 1029419649521168400,
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"timestamp": "10/11/2022 11:46:10",
"content": "mhm",
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"id": 1029419667271458800,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:46:14",
"content": "sin2x is a negative number",
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"id": 1029419684728164400,
"author_id": 606486014197760000,
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"timestamp": "10/11/2022 11:46:18",
"content": "oh yeah yeah",
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"id": 1029419702742687700,
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"timestamp": "10/11/2022 11:46:22",
"content": "so sin is negative",
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{
"id": 1029419711202598900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:46:24",
"content": "what quad?",
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"id": 1029419723777134600,
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:46:27",
"content": "cos",
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"id": 1029419724632760400,
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"timestamp": "10/11/2022 11:46:28",
"content": "will u be focusing on",
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},
{
"id": 1029419758308831200,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:46:36",
"content": "okay so fourth",
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"id": 1029419767339159600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:46:38",
"content": "anymore?",
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{
"id": 1029419785022361700,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:46:42",
"content": "and tan",
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},
{
"id": 1029419799282987000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:46:45",
"content": "mhm",
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},
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"id": 1029419803653439500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:46:46",
"content": "third",
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},
{
"id": 1029419810444034200,
"author_id": 1015619946451046400,
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"timestamp": "10/11/2022 11:46:48",
"content": "those are",
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"timestamp": "10/11/2022 11:46:53",
"content": "third and fourth quadrants",
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"timestamp": "10/11/2022 11:47:09",
"content": "have u drew the quadrant stuff before",
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"id": 1029419919458177000,
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"timestamp": "10/11/2022 11:47:14",
"content": "yea",
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"timestamp": "10/11/2022 11:47:20",
"content": "draw",
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"id": 1029419951724966000,
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"timestamp": "10/11/2022 11:47:22",
"content": "Lai lai",
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"id": 1029419965541011500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:47:25",
"content": "and take picture",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:47:27",
"content": "I wan see",
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"timestamp": "10/11/2022 11:47:32",
"content": "ur beautiful",
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"timestamp": "10/11/2022 11:47:33",
"content": "handwriting",
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"timestamp": "10/11/2022 11:48:29",
"content": "strong word choice",
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"timestamp": "10/11/2022 11:48:37",
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"id": 1029420414637719700,
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:49:12",
"content": "normally i have a angle to input? im not sure what to put into it",
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"timestamp": "10/11/2022 11:49:36",
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"timestamp": "10/11/2022 11:49:37",
"content": "for the third quadrant",
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"id": 1029420546431131600,
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"timestamp": "10/11/2022 11:49:43",
"content": "what u want",
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"id": 1029420549002240000,
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"timestamp": "10/11/2022 11:49:44",
"content": "is",
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"id": 1029420557546029200,
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"timestamp": "10/11/2022 11:49:46",
"content": "the red angle",
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{
"id": 1029420601909203000,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:49:57",
"content": "how to find it",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:50:03",
"content": "yeah so its, 180+x",
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"id": 1029420639389491200,
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"timestamp": "10/11/2022 11:50:06",
"content": "mhm",
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"id": 1029420650617643000,
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"timestamp": "10/11/2022 11:50:08",
"content": "+ alpha",
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"id": 1029420662709829600,
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"timestamp": "10/11/2022 11:50:11",
"content": "ye",
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"id": 1029420674416123900,
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"timestamp": "10/11/2022 11:50:14",
"content": "*alpha",
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{
"id": 1029420701301620900,
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"timestamp": "10/11/2022 11:50:20",
"content": "so that’s one",
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{
"id": 1029420702694113300,
"author_id": 606486014197760000,
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"timestamp": "10/11/2022 11:50:21",
"content": "so 180 plus 19.47",
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{
"id": 1029420719400034400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:50:25",
"content": "mhm",
"attachments": [],
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},
{
"id": 1029420723208454300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:50:26",
"content": "nice",
"attachments": [],
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},
{
"id": 1029420727495032800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:50:27",
"content": "aye aye",
"attachments": [],
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{
"id": 1029420734801514600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:50:28",
"content": "let’s go",
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{
"id": 1029420838715400300,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:50:53",
"content": "so 199.47 degrees is my first",
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"id": 1029420926690939000,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:51:14",
"content": "now i do 270-19.47?",
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{
"id": 1029420970143920300,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:51:24",
"content": "for the fourth ?",
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"id": 1029420991635533800,
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"timestamp": "10/11/2022 11:51:30",
"content": "",
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"id": 1029420997763399800,
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"timestamp": "10/11/2022 11:51:31",
"content": "fourth quadrant",
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},
{
"id": 1029421014121193600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:51:35",
"content": "this is your next one",
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},
{
"id": 1029421029438787600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:51:39",
"content": "how to find the red angle",
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},
{
"id": 1029421057817456800,
"author_id": 1015619946451046400,
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"timestamp": "10/11/2022 11:51:45",
"content": "don’t mind my low quality pic",
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{
"id": 1029421063358136400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:51:47",
"content": "lmao",
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{
"id": 1029421073038586000,
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"timestamp": "10/11/2022 11:51:49",
"content": "270+alpha",
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},
{
"id": 1029421089710932000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:51:53",
"content": "nah",
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},
{
"id": 1029421105624129700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:51:57",
"content": "what’s one full circle",
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},
{
"id": 1029421108522389500,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:51:57",
"content": "-alpah",
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},
{
"id": 1029421110669881300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:51:58",
"content": "the angle",
"attachments": [],
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},
{
"id": 1029421125584826400,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:52:02",
"content": "360!",
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},
{
"id": 1029421127728119900,
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"timestamp": "10/11/2022 11:52:02",
"content": "nah",
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"id": 1029421133826621600,
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"timestamp": "10/11/2022 11:52:04",
"content": "ye",
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},
{
"id": 1029421157830627300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:09",
"content": "so..",
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},
{
"id": 1029421169461448800,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:52:12",
"content": "360-alpha",
"attachments": [],
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},
{
"id": 1029421189594103800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:17",
"content": "perfect",
"attachments": [],
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},
{
"id": 1029421205855412200,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:21",
"content": "aye aye",
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},
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"id": 1029421227900665900,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:26",
"content": "so what’s the ans for that",
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"timestamp": "10/11/2022 11:52:37",
"content": "340.53",
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"timestamp": "10/11/2022 11:52:40",
"content": "kk",
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"timestamp": "10/11/2022 11:52:42",
"content": "so",
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:43",
"content": "take note",
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"id": 1029421305210097700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:44",
"content": "these",
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"timestamp": "10/11/2022 11:52:46",
"content": "ARE NOT",
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"timestamp": "10/11/2022 11:52:49",
"content": "ur final answer",
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"timestamp": "10/11/2022 11:52:50",
"content": "what u want",
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"author_id": 606486014197760000,
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"timestamp": "10/11/2022 11:52:51",
"content": "...",
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"id": 1029421334154977400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:51",
"content": "is x",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:55",
"content": "what u have right now",
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"id": 1029421357995409500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:52:57",
"content": "is 2X",
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"timestamp": "10/11/2022 11:53:01",
"content": "so",
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"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:53:04",
"content": "divide it by 2?",
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"id": 1029421396591386600,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:53:06",
"content": "mhm",
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"id": 1029421404329873500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:53:08",
"content": "and ur done",
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},
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"id": 1029421409279152100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:53:09",
"content": "sweet",
"attachments": [],
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{
"id": 1029421413955809300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:53:10",
"content": "simple",
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"id": 1029421429827047400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:53:14",
"content": "and bitter",
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},
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"id": 1029421538488881200,
"author_id": 606486014197760000,
"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:53:40",
"content": "so just",
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"id": 1029421592234709100,
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:53:53",
"content": "170.53, and, 99.765",
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"id": 1029421622395928600,
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:54:00",
"content": "idk didn’t work it out lmao",
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"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:54:03",
"content": "but ye seems alr",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:54:07",
"content": "assuming u calculated right",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:54:08",
"content": "thanks a ton tho",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:54:11",
"content": "npnp",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:54:34",
"content": "always do... o_o.. always...",
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"timestamp": "10/11/2022 11:54:41",
"content": "O-O",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:54:43",
"content": "🙈",
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"id": 1029421833457504300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/11/2022 11:54:50",
"content": "🥸",
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"author_name": "M4RT1N",
"timestamp": "10/11/2022 11:55:05",
"content": "i will be seeing you again, sadly as i still suck at maths, but your mega help",
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"timestamp": "10/11/2022 11:55:12",
"content": "aye aye",
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"content": "🫡",
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"content": ":diligentClerk:",
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"timestamp": "10/11/2022 11:55:38",
"content": ".close",
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] |
help-9
|
c8650d75dcbc43d1b50e54e6ce4daf35
|
199,048 |
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"timestamp": "04/09/2022 03:53:26",
"content": "Available help channel!",
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"content": "I think it's false",
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"content": "Pinned a message.",
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"content": "@halflife Has your question been resolved?",
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"content": "@halflife Has your question been resolved?",
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help-9
|
3dfd19b491d44512bfe631ac7cf9da5a
|
199,049 |
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"timestamp": "10/11/2022 12:25:58",
"content": "Available help channel!",
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"timestamp": "10/11/2022 12:29:18",
"content": "Well, what do you know about the formula for the area",
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"content": "It’s base x height / 2",
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"timestamp": "10/11/2022 12:29:34",
"content": "So find the base and therefore the height",
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"content": "no it's not to be done like this",
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"content": "?",
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"timestamp": "10/11/2022 12:32:57",
"content": "it's a question of the formula for finding area of a triangle in coordinate geometry\nit's (1/2) [x1 (y2 – y3 ) + x2 (y3 – y1 ) + x3(y1 – y2)]",
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"timestamp": "10/11/2022 12:33:28",
"content": "yes but why does it matter how you solve it",
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"timestamp": "10/11/2022 12:33:34",
"content": "this way is way easier",
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"timestamp": "10/11/2022 12:33:45",
"content": "also there’s no single point r, it can be any point on a line",
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"id": 1029431683474260000,
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"timestamp": "10/11/2022 12:33:59",
"content": "can you type the solution ?",
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"id": 1029431740940439700,
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"timestamp": "10/11/2022 12:34:12",
"content": "or send a pic of it ?",
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"timestamp": "10/11/2022 12:39:52",
"content": "@Helpers",
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"timestamp": "10/11/2022 12:40:19",
"content": "You can plug in the two points you already know for (x1, y1) and (x2,y2)",
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"timestamp": "10/11/2022 12:40:31",
"content": "Then just choose a value for x3 and solve for y3",
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"timestamp": "10/11/2022 12:40:32",
"content": "i tried a lot",
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"timestamp": "10/11/2022 12:40:47",
"content": "i cannot reach the answer",
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"timestamp": "10/11/2022 12:40:59",
"content": "There are infinitely many solutions, not just one",
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"timestamp": "10/11/2022 12:41:19",
"content": "That's why you can choose any x-coordinate for the third point, and then just find the corresponding y",
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"timestamp": "10/11/2022 12:41:59",
"content": "(-2,-7) \n(7,-2) \n(7,2)\n(-2,-7)",
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"timestamp": "10/11/2022 12:42:08",
"content": "these are 4 options",
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"timestamp": "10/11/2022 12:42:38",
"content": "and i think it foolishness to check all the options in very less time",
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"timestamp": "10/11/2022 12:42:43",
"content": "in the examination",
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"timestamp": "10/11/2022 12:42:59",
"content": "I think that would only take a couple minutes, actually",
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"timestamp": "10/11/2022 12:43:05",
"content": "yep",
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"timestamp": "10/11/2022 12:43:18",
"content": "Um...",
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"author_name": "Paras",
"timestamp": "10/11/2022 12:43:32",
"content": "but there should be a method to solve it",
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"author_name": "Paras",
"timestamp": "10/11/2022 12:43:42",
"content": "in case options are not given",
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"timestamp": "10/11/2022 12:43:52",
"content": "There is, but like I said, there are infinitely many solutions, you're not just going to magically land on one of those four.",
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"content": "Ok thanks",
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"content": "If you need one of those four in particular, really the only option is to try them all",
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"timestamp": "10/11/2022 12:44:40",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
5dd1c4c3e7e14ddb99ae28ae50cbfe02
|
199,050 |
[
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"id": 1029436391140118500,
"author_id": 805217272087838700,
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"timestamp": "10/11/2022 12:52:41",
"content": "Available help channel!",
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"content": "Hello, I have to find out what the limit is",
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"content": "l'hopital's rule",
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"content": "the teacher didn't mention anything about that",
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"timestamp": "10/11/2022 12:56:22",
"content": "ah well it's not called l'hopital's rule here",
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"content": "english is not my main language",
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"content": "differentiate the numerator and denominator",
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"content": "and take the limit",
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"content": "I'm sorry could you explain again",
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"content": "@Helpers",
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"content": "what is f'(x) and g'(x)",
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"content": "this exercise is proposed before the derivative chapter",
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"timestamp": "10/11/2022 13:40:40",
"content": ".close",
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] |
help-9
|
5c63b9c3b1d248c69ec7d3e21eea6484
|
199,051 |
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"timestamp": "10/11/2022 13:41:41",
"content": "Available help channel!",
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"id": 1029448921493291000,
"author_id": 383273721206538240,
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"timestamp": "10/11/2022 13:42:29",
"content": "where did the 2 come from in the denominator on the right side?",
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"content": "whats f?",
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"content": "well it shouldnt be there then",
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"content": "what about this one?",
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"content": "to me it seemms wroong but maybe i'm missing something",
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"content": "what are those an?",
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"content": "fourier coeff?",
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"content": "yes",
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"timestamp": "10/11/2022 13:50:23",
"content": "to me a0 should have 1/2pi from the beginning",
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"content": "but an for n>=1 should have 1/pi",
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"timestamp": "10/11/2022 13:50:55",
"content": "how, l is pi",
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"timestamp": "10/11/2022 13:51:05",
"content": "@Moderators",
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"timestamp": "10/11/2022 13:51:17",
"content": "wdym?",
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"content": "the formula for a0 is 1 / L * integration of f(x) dx from C to C + 2L",
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"timestamp": "10/11/2022 13:52:02",
"content": "right?",
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"timestamp": "10/11/2022 13:52:48",
"content": "yeah",
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"timestamp": "10/11/2022 13:53:16",
"content": "L is 2Pi here",
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"content": "no?",
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"content": "how",
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"timestamp": "10/11/2022 13:54:02",
"content": "oh i'm sorry",
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"timestamp": "10/11/2022 13:54:05",
"content": "-pi to pi\nso C = -pi\nC + 2L = pi\nso 2L = 2pi",
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"timestamp": "10/11/2022 13:54:06",
"content": "what is L to you?",
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"timestamp": "10/11/2022 13:54:07",
"content": "period",
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"content": "2L is the period",
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"content": "yeah then a0 is 1/2L",
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"timestamp": "10/11/2022 13:54:39",
"content": "a0 is the average",
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"timestamp": "10/11/2022 13:54:45",
"content": "of your function",
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"timestamp": "10/11/2022 13:55:10",
"content": "but we write a0 / 2 in the fourier series expansion",
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"content": "ok",
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"timestamp": "10/11/2022 13:55:40",
"content": "you see it depends on how you were taught the thing",
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"timestamp": "10/11/2022 13:55:45",
"content": "ok if you write a0/2",
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"timestamp": "10/11/2022 13:55:56",
"content": "to me its just a0 in the expansion",
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"timestamp": "10/11/2022 13:56:02",
"content": "w/e its the same then",
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"timestamp": "10/11/2022 13:56:25",
"content": "w/e ?",
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"timestamp": "10/11/2022 13:57:14",
"content": "what ever",
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"timestamp": "10/11/2022 14:11:25",
"content": "@Raptor Has your question been resolved?",
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"timestamp": "10/11/2022 14:14:45",
"content": "how did it go from 1 + 1/3 + 1/5 to 1 - 1/3 + 1/5 - 1/7",
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"timestamp": "10/11/2022 14:18:22",
"content": "whats f this time?",
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"id": 1029458009467928600,
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"timestamp": "10/11/2022 14:18:35",
"content": "same as last one",
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"content": "Channel closed",
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}
] |
help-9
|
96130a6b0d0441b6ba6565c45492f66f
|
199,052 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 14:27:26",
"content": "Available help channel!",
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},
{
"id": 1029462202014503000,
"author_id": 781619441502388200,
"author_name": "JJDziochu",
"timestamp": "10/11/2022 14:35:15",
"content": "how much would be 2.5 x (5√3/2)?",
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},
{
"id": 1029462205915214000,
"author_id": 805217272087838700,
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"timestamp": "10/11/2022 14:35:16",
"content": "Pinned a message.",
"attachments": [],
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"id": 1029462258696343600,
"author_id": 781619441502388200,
"author_name": "JJDziochu",
"timestamp": "10/11/2022 14:35:28",
"content": "and how to calculate it",
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},
{
"id": 1029462303780900900,
"author_id": 781619441502388200,
"author_name": "JJDziochu",
"timestamp": "10/11/2022 14:35:39",
"content": "do i just 2.5 x 5 or what?",
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},
{
"id": 1029462758749651100,
"author_id": 781619441502388200,
"author_name": "JJDziochu",
"timestamp": "10/11/2022 14:37:28",
"content": "(ping)",
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},
{
"id": 1029466041648169100,
"author_id": 781619441502388200,
"author_name": "JJDziochu",
"timestamp": "10/11/2022 14:50:30",
"content": "@Helpers",
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},
{
"id": 1029467969136369700,
"author_id": 781619441502388200,
"author_name": "JJDziochu",
"timestamp": "10/11/2022 14:58:10",
"content": ".close",
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},
{
"id": 1029467971795550200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 14:58:11",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
b913f42d6cfe43c8a1dbb9c85d873646
|
199,053 |
[
{
"id": 1029469063979733100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 15:02:31",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1029469109181747300,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:02:42",
"content": "\"A right-angled triangle has a hypothenuse of 4 cm. The median to the hypothenuse is geometrically mean of the catheti. Find the catheti\"",
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},
{
"id": 1029469111375364100,
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"content": "Pinned a message.",
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"id": 1029469200395272300,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:03:03",
"content": "how do I solve this?",
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},
{
"id": 1029469225334612000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:03:09",
"content": "I get 4=ab",
"attachments": [],
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},
{
"id": 1029469256632516700,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:03:17",
"content": "but what do I do after this?",
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},
{
"id": 1029469967713837200,
"author_id": 806080447984566300,
"author_name": "K E D Y 🐈",
"timestamp": "10/11/2022 15:06:06",
"content": "hi",
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},
{
"id": 1029469976660291700,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:06:09",
"content": "hi",
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},
{
"id": 1029470205325344900,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:07:03",
"content": "what?",
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},
{
"id": 1029470274422313000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:07:20",
"content": "??",
"attachments": [],
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},
{
"id": 1029472699719888900,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:16:58",
"content": "@Helpers",
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},
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"id": 1029476475453329500,
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"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 15:31:58",
"content": "@lacertae Has your question been resolved?",
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"id": 1029476508521201800,
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"timestamp": "10/11/2022 15:32:06",
"content": "@Helpers",
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},
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"id": 1029479168267780100,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:42:40",
"content": "sigh",
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},
{
"id": 1029479171585495000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "10/11/2022 15:42:41",
"content": ".close",
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},
{
"id": 1029479174563438700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 15:42:42",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
36567293df004c4ab043d7a09e9bdd4a
|
199,054 |
[
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"timestamp": "10/11/2022 15:43:42",
"content": "Available help channel!",
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},
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"author_id": 451551793474961400,
"author_name": "DISS",
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"content": "Pinned a message.",
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"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/11/2022 15:44:35",
"content": "Does this look good",
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},
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"id": 1029479909011247100,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:45:37",
"content": "uhh it does converge to 0",
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},
{
"id": 1029479931782115300,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:45:42",
"content": "but ur reasoning",
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},
{
"id": 1029480049071624200,
"author_id": 451551793474961400,
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"timestamp": "10/11/2022 15:46:10",
"content": "what abt it",
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"id": 1029480101789831300,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/11/2022 15:46:23",
"content": "im showing denom is larger(increasing faster)",
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"id": 1029480117493313700,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/11/2022 15:46:26",
"content": "than num",
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},
{
"id": 1029480347945140400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:47:21",
"content": "u should use something like $\\frac{(2n-1)!}{(2n+1)!}= \\frac{(2n-1)!}{(2n-1)!\\cdot (2n)(2n+1)}$",
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},
{
"id": 1029480362407100400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/11/2022 15:47:25",
"content": "**Deep.**",
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"id": 1029480479323336800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:47:53",
"content": "and then see the (2n-1)! cancels out",
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},
{
"id": 1029480554086797400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:48:10",
"content": "then apply limits to show it does converge to 0",
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"id": 1029480556695650400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "10/11/2022 15:48:11",
"content": "No you are not. All you showed is the first few terms denom grows faster. How can you know if the same holds for say n=7281716161718?",
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"timestamp": "10/11/2022 15:48:34",
"content": "got it",
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"id": 1029480890138624000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:49:31",
"content": "do you get why what u did is wrong?",
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},
{
"id": 1029481013539254300,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:50:00",
"content": "like for example take a_n =n/(n+1)",
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},
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"id": 1029481100625576000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:50:21",
"content": "here for all a_n denom > num",
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},
{
"id": 1029481167105298400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:50:37",
"content": "but as n tends to infinity",
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},
{
"id": 1029481190752800900,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:50:42",
"content": "a_n =1",
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},
{
"id": 1029481222071664600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "10/11/2022 15:50:50",
"content": "Or take a_n=1000*n/n^2 makes it more clear imo",
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},
{
"id": 1029481395531296800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "10/11/2022 15:51:31",
"content": "oh thats very good example",
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},
{
"id": 1029481421460471800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "10/11/2022 15:51:37",
"content": "First few terms num is growing much faster than denom",
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},
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"id": 1029481445506437200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "10/11/2022 15:51:43",
"content": "Yet limit is 0",
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},
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"id": 1029482489422545000,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/11/2022 15:55:52",
"content": "ye i see it now",
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"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 16:10:52",
"content": "@DISS Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 16:25:53",
"content": "Channel closed",
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}
] |
help-9
|
fd17e40f8cea4825bb336317e93e812c
|
199,055 |
[
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"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 16:26:53",
"content": "Available help channel!",
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},
{
"id": 1029490461620056200,
"author_id": 863153494961815600,
"author_name": "brandongillett",
"timestamp": "10/11/2022 16:27:33",
"content": "can someone help me solve this",
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"content": "Pinned a message.",
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{
"id": 1029490672543207600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:28:23",
"content": "45 points for what",
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},
{
"id": 1029490727119499400,
"author_id": 863153494961815600,
"author_name": "brandongillett",
"timestamp": "10/11/2022 16:28:36",
"content": "oh sorry thats not part of the questions",
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},
{
"id": 1029490754927743100,
"author_id": 863153494961815600,
"author_name": "brandongillett",
"timestamp": "10/11/2022 16:28:42",
"content": "its just saying how much its worth",
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},
{
"id": 1029490763630915700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:28:45",
"content": "Is this homework",
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},
{
"id": 1029490777556009000,
"author_id": 863153494961815600,
"author_name": "brandongillett",
"timestamp": "10/11/2022 16:28:48",
"content": "yes",
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},
{
"id": 1029490874176000100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:29:11",
"content": "What have you tried so far",
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},
{
"id": 1029490961417519100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:29:32",
"content": "There's one thing you can do that'll make things easier",
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},
{
"id": 1029491014051823600,
"author_id": 863153494961815600,
"author_name": "brandongillett",
"timestamp": "10/11/2022 16:29:44",
"content": "honestly havent tried it yet i just dont understand what trig sub i should be using here",
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},
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"id": 1029491269585612800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:30:45",
"content": "Change it into sine and cosine",
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},
{
"id": 1029491320043090000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:30:57",
"content": "Well atcually wait",
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},
{
"id": 1029491342755242000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:31:03",
"content": "No nvm there's a trig identity I think",
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},
{
"id": 1029491444643283100,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/11/2022 16:31:27",
"content": "What abt actually expanding it?",
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},
{
"id": 1029491452641824800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:31:29",
"content": "Nvm@im dumb",
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},
{
"id": 1029491497646702700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:31:40",
"content": "Anyways go expand it into sines and cosines",
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},
{
"id": 1029491587211870300,
"author_id": 863153494961815600,
"author_name": "brandongillett",
"timestamp": "10/11/2022 16:32:01",
"content": "umm i dont exactly know how to do that",
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},
{
"id": 1029491822814318700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:32:57",
"content": "You're telling me you don't know that tan := sin/cos and that sec := 1/cos",
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},
{
"id": 1029491882868342800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "10/11/2022 16:33:11",
"content": "And then you don't know how to add and subtract fractions?",
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},
{
"id": 1029492093921546400,
"author_id": 863153494961815600,
"author_name": "brandongillett",
"timestamp": "10/11/2022 16:34:02",
"content": "well i do i just didnt know thats what it meant",
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},
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help-9
|
bbeb07682a2b4a948f76637058f8793d
|
199,056 |
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"timestamp": "10/11/2022 16:43:16",
"content": "Available help channel!",
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"content": "find all possible answers",
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"content": "with intervals [-2pi;pi]",
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"author_id": 394938706760302600,
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"content": "you sure thats the correct interval?",
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"content": "ok so you can either have cos x = 3 or cos x = root2/2",
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"content": "since cos oscilliates between 1 and -1",
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"content": "so cos x = -sqrt(2)/2",
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"timestamp": "10/11/2022 16:48:42",
"content": "these are",
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"content": "the answers btw",
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"timestamp": "10/11/2022 16:49:44",
"content": "more like the 3 intervals",
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"timestamp": "10/11/2022 16:49:48",
"content": "i just dont know how to solve",
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"timestamp": "10/11/2022 16:49:52",
"content": "cos inverse of sqrt2 /2 is 3 pi /4",
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"timestamp": "10/11/2022 16:49:55",
"content": "just from calculator",
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"timestamp": "10/11/2022 16:50:04",
"content": "and then if you think about the cosine wave",
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"content": "it is symmetrical about the y axis",
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"timestamp": "10/11/2022 16:50:18",
"content": "so -3 pi/4 would also be a value",
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"timestamp": "10/11/2022 16:50:35",
"content": "and for more values, you just use the fact that the period is 2pi",
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"timestamp": "10/11/2022 16:50:46",
"content": "so in this case you would subtract 2 pi from 3 pi / 4",
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"timestamp": "10/11/2022 16:50:59",
"content": "and the next solutionsj wo uld be out of the interval",
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"timestamp": "10/11/2022 16:51:27",
"content": "got it",
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"timestamp": "10/11/2022 16:51:28",
"content": "thanks",
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"timestamp": "10/11/2022 16:51:29",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
4a847eaf13af48a08ef9a88c9466bcc4
|
199,057 |
[
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"timestamp": "10/11/2022 16:59:02",
"content": "I got this far",
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"timestamp": "10/11/2022 16:59:23",
"content": "yeah so for part a, f(5x+2) would be 5(3-4x) + 2",
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"timestamp": "10/11/2022 17:00:46",
"content": "oops thats'; wrong",
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"timestamp": "10/11/2022 17:01:00",
"content": "sorry, instead you have 3-4(g(x))",
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"timestamp": "10/11/2022 17:01:07",
"content": "so that would be 3-4(5x+2)",
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"timestamp": "10/11/2022 17:03:36",
"content": "I didn't get it",
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"timestamp": "10/11/2022 17:04:00",
"content": "ok so you already have written f(5x + 2) for part a",
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"timestamp": "10/11/2022 17:04:06",
"content": "And why not 3-4x?",
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"timestamp": "10/11/2022 17:04:11",
"content": "so what that means is, in f(x) you replace every x with (5x+2)",
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"content": "Yh",
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"timestamp": "10/11/2022 17:04:48",
"content": "the thing I said first was g(f(x)) not f(g(x))",
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"timestamp": "10/11/2022 17:04:57",
"content": "Aha",
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"timestamp": "10/11/2022 17:05:17",
"content": "so that's 3 - 4 (5x+2)",
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"timestamp": "10/11/2022 17:06:21",
"content": "Ok so is 3-4 from f(x)",
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"timestamp": "10/11/2022 17:06:27",
"content": "Is it right?",
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"timestamp": "10/11/2022 17:06:29",
"content": "ye",
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"timestamp": "10/11/2022 17:06:40",
"content": "it's just f(x) but 5x+2 replaced with x",
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"timestamp": "10/11/2022 17:06:44",
"content": "So why didn't u write x?",
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"timestamp": "10/11/2022 17:06:54",
"content": "where?",
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"timestamp": "10/11/2022 17:07:04",
"content": "3-4x",
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"timestamp": "10/11/2022 17:07:07",
"content": "The x",
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"author_name": "Kathy0_0",
"timestamp": "10/11/2022 17:07:14",
"content": "U got what I mean?",
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"author_name": "bo luo",
"timestamp": "10/11/2022 17:07:14",
"content": "I wrote 5x + 2 instead",
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"timestamp": "10/11/2022 17:07:19",
"content": "because that's what x is in this case",
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"timestamp": "10/11/2022 17:07:57",
"content": "f(x) = 3 -4(x)\nso f(5x+2) = 3-4(5x+2)",
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"timestamp": "10/11/2022 17:08:04",
"content": "Ahaaaaa",
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"timestamp": "10/11/2022 17:08:08",
"content": "Got ittt",
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},
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"author_name": "bo luo",
"timestamp": "10/11/2022 17:08:17",
"content": "nice , same thing for other problems",
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"timestamp": "10/11/2022 17:08:50",
"content": "The x in f(x) is 3-4 right?",
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"timestamp": "10/11/2022 17:09:29",
"content": "@bo luo",
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"timestamp": "10/11/2022 17:09:29",
"content": "what do you mean?",
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"timestamp": "10/11/2022 17:09:32",
"content": "x is just a variable",
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"timestamp": "10/11/2022 17:09:51",
"content": "What is y?",
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"content": "Isn't it 3-4?",
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"timestamp": "10/11/2022 17:10:05",
"content": "I don't see a y in this problem",
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"content": "Aha",
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"content": "3-4 is just -1?",
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"content": "3-4x",
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"content": "is f(x)",
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"content": "Aha",
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"content": "Another question",
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"content": "If we have f(x)= 2x+3",
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"timestamp": "10/11/2022 17:12:08",
"content": "So what does every part stand for?",
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"content": "I have a problem with understanding that",
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"timestamp": "10/11/2022 17:12:49",
"content": "ok so x is the variable, it's the value that changes",
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"content": "do you mean in a line equation?",
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"content": "Yh",
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"content": "I think so",
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"content": "ok so 2 is the gradient\nit's how much y changes for every x",
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"timestamp": "10/11/2022 17:14:03",
"content": "so it means if y changes 2, then x changes 1",
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"content": "that's what the 2 means",
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"content": "U started good here with the explation",
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"content": "and +3 is just a constant that shifts the whole line up 3",
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"timestamp": "10/11/2022 17:14:32",
"content": "Which part is y then?",
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"content": "y is f(x)",
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"content": "if we're talking about a line",
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"content": "y = 2x+3",
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"content": "Aha",
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"timestamp": "10/11/2022 17:15:33",
"content": "Can it be in another ways, like wdym if we r talking about line",
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"timestamp": "10/11/2022 17:15:53",
"content": "well your question is very ambiguous",
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"content": "that's why I can't give you a straight answer",
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"timestamp": "10/11/2022 17:16:35",
"content": "2x +3 is always a line, but I'm not sure when you say you want to know what each part means that you mean graphically",
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"timestamp": "10/11/2022 17:16:51",
"content": "What is confusing me is when it is like that f(x)=6 so if we will explain it so 6 will be y right?",
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"content": "yeah",
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"content": "f(x) = 6 just means a horizontal line passing through y = 6",
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"timestamp": "10/11/2022 17:18:32",
"content": "What I mean is an explation for what for example y means, 2x and +2",
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"timestamp": "10/11/2022 17:18:55",
"content": "Ok I'm with u here but",
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"timestamp": "10/11/2022 17:19:07",
"content": "But why that then?",
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"timestamp": "10/11/2022 17:19:09",
"content": "this seems a little advanced then if you don't understand these concepts yet",
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"timestamp": "10/11/2022 17:19:18",
"content": "F(x) is y here",
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"timestamp": "10/11/2022 17:19:24",
"content": "So why 6 is y there",
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"timestamp": "10/11/2022 17:19:38",
"content": "f(x) is just a function in terms of x",
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"timestamp": "10/11/2022 17:19:41",
"content": "but when we graph things",
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"content": "we also do them in terms of x",
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"content": "y = something in terms of x",
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"timestamp": "10/11/2022 17:19:58",
"content": "that's why f(x) is the same as y",
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"timestamp": "10/11/2022 17:20:13",
"content": "I do but what I'm trying to understand is that I asked up",
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"timestamp": "10/11/2022 17:21:31",
"content": "they're just variables and numbers",
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"timestamp": "10/11/2022 17:21:56",
"content": "which make geometric shapes together",
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"timestamp": "10/11/2022 17:21:58",
"content": "in thise case they make a line",
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"timestamp": "10/11/2022 17:23:09",
"content": "I think I got the point, I just gonna check over the conversation again to see if I really understood what in my mind",
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"timestamp": "10/11/2022 17:29:02",
"content": "Ok, that's explain all thing, now I got it, in 3-4 so we should put 5x+2 instead of x in 4x, right?",
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"content": "@bo luo",
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"content": ".close",
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"timestamp": "10/11/2022 17:36:50",
"content": "Channel closed",
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] |
help-9
|
0a5d1004e97b4b7890c95f1b0b2efe24
|
199,058 |
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"timestamp": "10/11/2022 17:37:51",
"content": "Available help channel!",
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"timestamp": "10/11/2022 17:41:48",
"content": "Simple word problem",
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"timestamp": "10/11/2022 17:41:59",
"content": "I wasn't here in class tho so I am a little confused at one part",
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"timestamp": "10/11/2022 17:42:55",
"content": "can someone help with just making the first 2 equations",
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"timestamp": "10/11/2022 17:42:58",
"content": "I know how to solve the rest",
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"timestamp": "10/11/2022 17:44:47",
"content": "let p = the average paddling rate\nlet c = the speed of current",
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"content": "I think the average paddling rate is just 12km/2h = 6km/h = p because the current isn't mentioned.",
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"timestamp": "10/11/2022 17:45:10",
"content": "so why is it P+C and P-C",
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"content": "ok but why is it p+c and p-c",
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"timestamp": "10/11/2022 17:45:52",
"content": "no thats wrong",
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"content": "Oh, I understand now. The current is also important in the first equation. When you are going down the river, you speed is the average speed p plus the speed of the current c so it is p + c. Because you are doing it for two hours, it is 2(p+c) and this equals 12 because you are doing it for 12 kilometers.",
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"content": "On the way back the speed of the current is subtracted form the speed of the average paddling because you are driving against the current. So it is 3(p-c) because you need 3 hours.",
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"timestamp": "10/11/2022 17:48:23",
"content": "are both equations to find the speed , isnt rate the same thing as speed",
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"timestamp": "10/11/2022 17:49:14",
"content": "I think both equations are to find the rate of the paddling (which is the speed).",
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"timestamp": "10/11/2022 17:49:23",
"content": "oh ya ok thank youuu",
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"id": 1029511104323408000,
"author_id": 457232541330440200,
"author_name": "Lini",
"timestamp": "10/11/2022 17:49:34",
"content": "When you know the rate of the paddling you can calculate the speed of the current from that.",
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},
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"author_name": "Lini",
"timestamp": "10/11/2022 17:49:39",
"content": "np",
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"id": 1029511538781982800,
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"timestamp": "10/11/2022 17:51:18",
"content": "wait another small question @Lini",
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"author_name": "Inactive User",
"timestamp": "10/11/2022 17:51:26",
"content": "why did she divide it by 2 and 3 after",
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"id": 1029511677814788100,
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"timestamp": "10/11/2022 17:51:51",
"content": "speed = distance / time",
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"id": 1029511712711389300,
"author_id": 457232541330440200,
"author_name": "Lini",
"timestamp": "10/11/2022 17:51:59",
"content": "Because she wanted the speed for one hour and not for two/three hours.",
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},
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"id": 1029511725659213800,
"author_id": 718324181774631000,
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"timestamp": "10/11/2022 17:52:02",
"content": "oh",
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"timestamp": "10/11/2022 17:52:16",
"content": "so distance is 12 and time is 2",
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},
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"id": 1029511796815564800,
"author_id": 718324181774631000,
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"timestamp": "10/11/2022 17:52:19",
"content": "so / 2",
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},
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"author_id": 718324181774631000,
"author_name": "Inactive User",
"timestamp": "10/11/2022 17:52:20",
"content": "ok",
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},
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"id": 1029511801857122400,
"author_id": 718324181774631000,
"author_name": "Inactive User",
"timestamp": "10/11/2022 17:52:20",
"content": "OK",
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},
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"id": 1029511808941310000,
"author_id": 718324181774631000,
"author_name": "Inactive User",
"timestamp": "10/11/2022 17:52:22",
"content": "thanks now",
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},
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"id": 1029511812070264800,
"author_id": 718324181774631000,
"author_name": "Inactive User",
"timestamp": "10/11/2022 17:52:23",
"content": ".close",
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},
{
"id": 1029511814679109600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 17:52:24",
"content": "Channel closed",
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}
] |
help-9
|
28bf1108cae14d8cb597e221a320caa3
|
199,059 |
[
{
"id": 962282930607095800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/09/2022 05:28:49",
"content": "Available help channel!",
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},
{
"id": 962289498073481200,
"author_id": 595197482573496300,
"author_name": "lethalred",
"timestamp": "04/09/2022 05:54:54",
"content": "what is the right mathematical notation to describe the biggest element of a vector?",
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},
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"content": "Pinned a message.",
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"id": 962289612007538700,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "04/09/2022 05:55:21",
"content": "Given the coordinates of the vector?",
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},
{
"id": 962289619938979800,
"author_id": 595197482573496300,
"author_name": "lethalred",
"timestamp": "04/09/2022 05:55:23",
"content": "so e.g. x = (1, 2, 4) \nwould max(x) = 4 be right?",
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},
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"id": 962289792945631200,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "04/09/2022 05:56:05",
"content": "For a vector (x, y, z) that'd just be max{x, y, z}",
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},
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"id": 962289901313867800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "04/09/2022 05:56:30",
"content": "So yeah",
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},
{
"id": 962290102627864700,
"author_id": 595197482573496300,
"author_name": "lethalred",
"timestamp": "04/09/2022 05:57:18",
"content": "right and what would then be a general way to describe the elements of the vector? If I dont know the length of it",
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},
{
"id": 962290319557267500,
"author_id": 595197482573496300,
"author_name": "lethalred",
"timestamp": "04/09/2022 05:58:10",
"content": "**x** = (x_1, x_2, ... x_n) \nbiggest element of **x** = max(**x** )",
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},
{
"id": 962290352117649400,
"author_id": 595197482573496300,
"author_name": "lethalred",
"timestamp": "04/09/2022 05:58:18",
"content": "would something like this be fine?",
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},
{
"id": 962290419801133000,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "04/09/2022 05:58:34",
"content": "I don't think that's possible without knowing vector's length and angle made with some axis",
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},
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"id": 962290565586747400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "04/09/2022 05:59:09",
"content": "I mean you could simply define max(***x***) to be the biggest element of the vector ***x***",
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},
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"id": 962290747325968400,
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"author_name": "lethalred",
"timestamp": "04/09/2022 05:59:52",
"content": "makes sense, just wanted to make sure i write it down correctly",
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},
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"timestamp": "04/09/2022 06:14:52",
"content": "@lethalred Has your question been resolved?",
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"timestamp": "04/09/2022 06:29:53",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
6bb101c318c7497d9b7850441841bd69
|
199,060 |
[
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"timestamp": "10/11/2022 17:53:24",
"content": "Available help channel!",
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},
{
"id": 1029512322319929500,
"author_id": 123833502859788290,
"author_name": "Dirty",
"timestamp": "10/11/2022 17:54:25",
"content": "Blanking on how to properly get the GCD and if I need to also change the denominator",
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"content": "Pinned a message.",
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"timestamp": "10/11/2022 18:09:25",
"content": "@Dirty Has your question been resolved?",
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"content": "@Dirty Has your question been resolved?",
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"content": ".close",
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"id": 1029528837731651600,
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}
] |
help-9
|
f8c415961084406bb2a20145773fe384
|
199,061 |
[
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"timestamp": "10/11/2022 19:01:02",
"content": "Available help channel!",
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},
{
"id": 1029531258818142300,
"author_id": 240600256746618900,
"author_name": "yungdaggerdk",
"timestamp": "10/11/2022 19:09:39",
"content": "Can someone see if these are correct",
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{
"id": 1029531261099851800,
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"content": "Pinned a message.",
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"author_id": 240600256746618900,
"author_name": "yungdaggerdk",
"timestamp": "10/11/2022 19:11:08",
"content": "My hand writing is terrible I promise I’m not 12",
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"id": 1029531669847359500,
"author_id": 240600256746618900,
"author_name": "yungdaggerdk",
"timestamp": "10/11/2022 19:11:17",
"content": "😂",
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},
{
"id": 1029531856586158100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/11/2022 19:12:02",
"content": "looks good",
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},
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"id": 1029531999435771900,
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"author_name": "yungdaggerdk",
"timestamp": "10/11/2022 19:12:36",
"content": "How about this one",
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"timestamp": "10/11/2022 19:12:43",
"content": "It’s finding the acceleration for that question",
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"id": 1029532049045983200,
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"timestamp": "10/11/2022 19:12:48",
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"author_id": 240600256746618900,
"author_name": "yungdaggerdk",
"timestamp": "10/11/2022 19:12:56",
"content": "once again shit hand writing",
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},
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"id": 1029532241476473000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/11/2022 19:13:34",
"content": "yeah looks good",
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"author_name": "yungdaggerdk",
"timestamp": "10/11/2022 19:13:58",
"content": "Thx",
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"timestamp": "10/11/2022 19:16:02",
"content": "/close",
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"timestamp": "10/11/2022 19:16:07",
"content": ".close",
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"timestamp": "10/11/2022 19:16:08",
"content": "Channel closed",
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}
] |
help-9
|
334e3844bc3a4d009d3f9d7a68eb5b53
|
199,062 |
[
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"content": "Available help channel!",
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},
{
"id": 1029535243331457000,
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"author_name": "FeIix",
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"content": "Pinned a message.",
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"id": 1029535254941270100,
"author_id": 715379568541696100,
"author_name": "FeIix",
"timestamp": "10/11/2022 19:25:32",
"content": "i need help",
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},
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"id": 1029536360379457500,
"author_id": 731447178572202000,
"author_name": "yk3",
"timestamp": "10/11/2022 19:29:56",
"content": "try to factorize the demoniator",
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"id": 1029536386002464800,
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"timestamp": "10/11/2022 19:30:02",
"content": "remember u cant divide by 0",
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},
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"id": 1029537710454612000,
"author_id": 715379568541696100,
"author_name": "FeIix",
"timestamp": "10/11/2022 19:35:18",
"content": "i got -1,11 for the first one",
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"author_name": "FeIix",
"timestamp": "10/11/2022 19:36:20",
"content": "no response",
"attachments": [],
"mentions": [],
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},
{
"id": 1029537976822288400,
"author_id": 715379568541696100,
"author_name": "FeIix",
"timestamp": "10/11/2022 19:36:21",
"content": "smh",
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},
{
"id": 1029539717907239000,
"author_id": 715379568541696100,
"author_name": "FeIix",
"timestamp": "10/11/2022 19:43:16",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1029541069622345700,
"author_id": 715379568541696100,
"author_name": "FeIix",
"timestamp": "10/11/2022 19:48:38",
"content": "i got 8,3 for second one",
"attachments": [],
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"reference": null
},
{
"id": 1029541116380446700,
"author_id": 715379568541696100,
"author_name": "FeIix",
"timestamp": "10/11/2022 19:48:50",
"content": "can somone let me know if im rigjht",
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},
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"id": 1029542103342125200,
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"timestamp": "10/11/2022 19:52:45",
"content": "",
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"id": 1029542120580718600,
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"timestamp": "10/11/2022 19:52:49",
"content": "looks good",
"attachments": [],
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"author_name": "tushar",
"timestamp": "10/11/2022 19:52:58",
"content": "chill out bro we're all volunteers here",
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"author_name": "FeIix",
"timestamp": "10/11/2022 19:52:59",
"content": "yea i solved it",
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"content": "wait what",
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"content": "wait nvm",
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"content": "he solved part (b) of your question",
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"content": "yea i already solved it",
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"timestamp": "10/11/2022 19:54:23",
"content": "and yes, your answer is correct",
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"content": "it was 8,3",
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"content": "find out how many 12-ounce cans fit in 54 ounces",
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"content": "4.5",
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"content": "?",
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"content": "yes",
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"timestamp": "10/11/2022 19:55:35",
"content": "divided 54 by 12",
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"content": "rule of 3",
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"content": "huh?",
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"content": "rule of 3?",
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"author_name": "FeIix",
"timestamp": "10/11/2022 19:56:22",
"content": "whats next step after 4.5",
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"author_name": "tushar",
"timestamp": "10/11/2022 19:58:08",
"content": "the 54 ounce size should contain 4.5x the number of calories as the 12-ounce can",
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"timestamp": "10/11/2022 19:58:17",
"content": "ok whast next",
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"author_name": "FeIix",
"timestamp": "10/11/2022 19:58:40",
"content": "how can i find how many calories will he consume?",
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"content": "...",
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"timestamp": "10/11/2022 20:00:45",
"content": "but that dosent make sense",
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"content": "it was",
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"timestamp": "10/11/2022 20:05:03",
"content": "help",
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"timestamp": "10/11/2022 20:09:37",
"content": "help is really nonconstant here",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 20:24:37",
"content": "@FeIix Has your question been resolved?",
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"timestamp": "10/11/2022 20:24:42",
"content": "Channel closed",
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] |
help-9
|
84e22c3d122048acb4672508c196a362
|
199,063 |
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"timestamp": "10/11/2022 20:25:42",
"content": "Available help channel!",
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"timestamp": "10/11/2022 20:31:09",
"content": "Subtract 6 from 4 3/4",
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"content": "Pinned a message.",
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"content": "@Helpers",
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"content": "@enzo has rizzyou can do better",
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"content": "are you saying (43/4)-6?",
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"content": "no 6-4 3/4",
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"content": "I got 2 3/4",
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"timestamp": "10/11/2022 20:40:02",
"content": "Hey can someone explain the chain rule to me",
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"content": "#help-0|penben is available",
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"content": "which is 2x3/4",
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"content": "6/4",
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"timestamp": "10/11/2022 20:40:42",
"content": "Yea",
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"content": "=1,5",
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"content": "3/2",
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"content": "1 and 1/2?",
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"content": "wdym",
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"timestamp": "10/11/2022 20:41:53",
"content": "Because 3/2 simplified is one and a half",
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"timestamp": "10/11/2022 20:41:59",
"content": "ye",
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"timestamp": "10/11/2022 20:42:10",
"content": "And the program I’m using wants me to simplify",
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"content": "Incorrect",
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"timestamp": "10/11/2022 20:42:41",
"content": "ig you could do that, ye",
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"timestamp": "10/11/2022 20:42:51",
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"timestamp": "10/11/2022 20:42:59",
"content": "what program",
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"timestamp": "10/11/2022 20:45:22",
"content": "Bro @Winterr what r u saying",
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"timestamp": "10/11/2022 20:45:51",
"content": "@enzo has rizz is ur problem 4.75-6?",
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"content": "bruh",
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"content": ".",
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"timestamp": "10/11/2022 20:51:22",
"content": "Ok so he got 2 and 3/4",
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"content": "2 and 3/4 is not equal to 2x3 /4",
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"content": "it doesnt even say \"and\" in here",
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"author_name": "Winterr",
"timestamp": "10/11/2022 20:52:05",
"content": "so thats a multiplication",
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},
{
"id": 1029557353290399900,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/11/2022 20:53:21",
"content": "Ok so first of all",
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},
{
"id": 1029557410005799000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/11/2022 20:53:34",
"content": "2 3/4 isn’t even the right answer",
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},
{
"id": 1029557454708670500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/11/2022 20:53:45",
"content": "Nor is 6/4",
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},
{
"id": 1029557461688004700,
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"author_name": "Winterr",
"timestamp": "10/11/2022 20:53:47",
"content": "i didnt say that",
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},
{
"id": 1029557487050948600,
"author_id": 547896647581958140,
"author_name": "Winterr",
"timestamp": "10/11/2022 20:53:53",
"content": "why",
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"id": 1029557526963945500,
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"author_name": "Stephen",
"timestamp": "10/11/2022 20:54:02",
"content": "But this is completely wrong",
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"timestamp": "10/11/2022 20:54:13",
"content": "That’s not how u simplify a mixed fraction",
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},
{
"id": 1029557646103167000,
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"author_name": "Winterr",
"timestamp": "10/11/2022 20:54:31",
"content": "i you are like that, this is the first thing wrong",
"attachments": [],
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"author_name": "Stephen",
"timestamp": "10/11/2022 20:54:56",
"content": "Well, as u pointed out, he clarified after so it’s fine",
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},
{
"id": 1029557860809576400,
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"author_name": "Winterr",
"timestamp": "10/11/2022 20:55:22",
"content": "this is not clarified",
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"id": 1029558169145446500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/11/2022 20:56:35",
"content": "Dude the fact of the matter is that we know the problem, but that’s not the way that we simplify a mixed fraction",
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},
{
"id": 1029558308379574400,
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"author_name": "Winterr",
"timestamp": "10/11/2022 20:57:08",
"content": "if from the beggining you knew the problem then cheers",
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},
{
"id": 1029558376977403900,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/11/2022 20:57:25",
"content": "?",
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},
{
"id": 1029558461563932700,
"author_id": 547896647581958140,
"author_name": "Winterr",
"timestamp": "10/11/2022 20:57:45",
"content": "ima just head to bed",
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},
{
"id": 1029558468736192500,
"author_id": 547896647581958140,
"author_name": "Winterr",
"timestamp": "10/11/2022 20:57:47",
"content": "👋",
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},
{
"id": 1029558484641005600,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/11/2022 20:57:51",
"content": "pce",
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},
{
"id": 1029559743813009500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 21:02:51",
"content": "@enzo has rizz Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 21:17:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5e73074d834f40c98a0404b30e967196
|
199,064 |
[
{
"id": 1029564114407796700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 21:20:13",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029564212785189000,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:20:36",
"content": "How would i find the inverse equation for this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029564215507308500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 21:20:37",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1029564212785189000,
"channelId": 486844875632017400,
"guildId": null
}
},
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"id": 1029564217919033500,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:20:37",
"content": "",
"attachments": [
{
"id": 1029564217717698600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1029564217717698610/unknown.png",
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}
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{
"id": 1029564555539529700,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:21:58",
"content": "my answer is sqrt(x-3) but its wrong?",
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},
{
"id": 1029564601928536200,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:22:09",
"content": "swap x and y and solve for y",
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},
{
"id": 1029564657326895100,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:22:22",
"content": "you have a small error",
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},
{
"id": 1029564717204774900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/11/2022 21:22:36",
"content": "**tushar**",
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{
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},
{
"id": 1029564782774321200,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:22:52",
"content": "can you spot it?",
"attachments": [],
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"reference": null
},
{
"id": 1029564827355582500,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:23:03",
"content": "would i first square root both sides?",
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},
{
"id": 1029564845835690000,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:23:07",
"content": "and then isolate y?",
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},
{
"id": 1029564879574663200,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:23:15",
"content": "yes",
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},
{
"id": 1029564956338823200,
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"author_name": "TeXit",
"timestamp": "10/11/2022 21:23:33",
"content": "**tushar**",
"attachments": [
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"author_name": "Tempo",
"timestamp": "10/11/2022 21:23:58",
"content": "then my answer would be sqrtx -3",
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},
{
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"timestamp": "10/11/2022 21:24:16",
"content": "correct",
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"timestamp": "10/11/2022 21:24:22",
"content": "assuming you mean sqrt(x) - 3",
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{
"id": 1029565180499214300,
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"timestamp": "10/11/2022 21:24:27",
"content": "yes",
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},
{
"id": 1029565181665235000,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:24:27",
"content": "and not sqrt(x - 3)",
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},
{
"id": 1029565202284421200,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:24:32",
"content": "i see",
"attachments": [],
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},
{
"id": 1029565238003122200,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:24:41",
"content": "so the -3 would not be under the sqrt",
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},
{
"id": 1029565393368527000,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:25:18",
"content": "my teachers answer is listed as -3 +- sqrt(x)",
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},
{
"id": 1029565460020211700,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:25:34",
"content": "is this the same as sqrt(x) - 3?",
"attachments": [],
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"reference": null
},
{
"id": 1029565630749364200,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:26:14",
"content": "+-?",
"attachments": [],
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],
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},
{
"id": 1029565653079830700,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:26:20",
"content": "plus or minus",
"attachments": [],
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"reference": null
},
{
"id": 1029565853894725800,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:27:07",
"content": "should just be +",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029565930470121500,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:27:26",
"content": "alright",
"attachments": [],
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"reference": null
},
{
"id": 1029565942138667000,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:27:29",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029565959532462200,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:27:33",
"content": "hold on",
"attachments": [],
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},
{
"id": 1029565996228423700,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:27:41",
"content": "i can see why your teacher had that",
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},
{
"id": 1029566027064946700,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:27:49",
"content": "gimme a sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029566040180527200,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:27:52",
"content": "okay",
"attachments": [],
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},
{
"id": 1029566481807192000,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:29:37",
"content": "yeah i'm not sure why your teacher has -3 - sqrt(x) as an inverse",
"attachments": [],
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},
{
"id": 1029566549893320800,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:29:53",
"content": "im also confused by thiss",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1029566655354912800,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:30:19",
"content": "i think they went from $x = (y+3)^2$ to $\\pm\\sqrt{x} = y+3$",
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},
{
"id": 1029566665706442800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/11/2022 21:30:21",
"content": "**tushar**",
"attachments": [
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"id": 1029566775072927900,
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"author_name": "tushar",
"timestamp": "10/11/2022 21:30:47",
"content": "and then subtracted 3",
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},
{
"id": 1029566855486128100,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:31:06",
"content": "they have the -3 at the front of the equation though",
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},
{
"id": 1029566881062998000,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:31:12",
"content": "that doesnt make sense to me",
"attachments": [],
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},
{
"id": 1029566919533137900,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:31:22",
"content": "addition is commutative",
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},
{
"id": 1029567002974634100,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:31:41",
"content": "the -3 can be before or after",
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},
{
"id": 1029567088173531300,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:32:02",
"content": "i see",
"attachments": [],
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},
{
"id": 1029567120603881600,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:32:09",
"content": "it doesnt change the end answer?",
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},
{
"id": 1029567480982675600,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:33:35",
"content": "but g(x) = -3 - sqrt(x) is not an inverse of f(x) = (x+3)^2 because g(f(x)) is not equal to x",
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},
{
"id": 1029567688030294000,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:34:25",
"content": "when finding inverse functions you generally don't use a plus or minus when taking square roots",
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},
{
"id": 1029567786982318100,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "10/11/2022 21:34:48",
"content": "but to answer your question, yes -3 + sqrt(x) is the same as sqrt(x) - 3",
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},
{
"id": 1029567998412988400,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:35:39",
"content": "so professionally the final answer would be sqrt(x) -3",
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},
{
"id": 1029568010509373400,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:35:42",
"content": "correct?",
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},
{
"id": 1029568606083743700,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:38:04",
"content": "i understand it now",
"attachments": [],
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"reference": null
},
{
"id": 1029568620415701100,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:38:07",
"content": "thanks tushar",
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},
{
"id": 1029568629966114800,
"author_id": 143088413447290880,
"author_name": "Tempo",
"timestamp": "10/11/2022 21:38:09",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1029568632767922200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/11/2022 21:38:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e2ee87dbafcb47489c3dc42d7d601aac
|
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